Research

LIST OF PUBLICATIONS 

1. M. Kumar,  N. Raza,   W. Ramírez. On the Theory and Applications of q-Mittag-Leffler-Laguerre Polynomials.   Dolomites Research Notes on Approximation, 18(1), 118-134.  drna.padovauniversitypress.it/2025/1/10 

2. M. Fadel, W. Ramírez, C. Cesarano and P. Buitrón. On 3-variable (p, q)--Hermite polynomials. International Journal of Applied Mathematics. 38(10s), 2025; 1454-1477.

3. M.  Zayed, T. Alqurashi, W. A. Khan, S. A. Wani, and W.Ramírez. A Comprehensive Study of Truncated ExponentialAppell Polynomials Properties Fractional Operators and Computational Aspects. Mathematical Methods in the Applied Sciences, 2025;  1–20 doi.org/10.1002/mma.70280 

4. C. Kızılates, W. Ramírez, Y. Quintana,  D. Bedoya, M.F. Heredia-Moyano. Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties.   Computational and Applied Mathematics  45(32),  (2026). doi.org/10.1007/s40314-025-03379-5 

5. S. A. Wani, T.  Alqurashi, W. Ramírez, C. Cesarano, and M.F. Heredia-Moyano.  Investigating the Properties and Diverse Applications of Special Polynomials Linked to Appell Sequences. Bol. Soc. Paran. Mat, 2025(43), 1-17.  periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/77269/751375160612

6. S. A. Wani, T.  Alqurashi, W. Ramírez, S. Malge  and J.D. Berrío. An Analytical Study of Two-Dimensional Bell Polynomials and Their Properties. Eur. J. Pure Appl. Math, 18 (3) (2025), 6054 . doi.org/10.29020/nybg.ejpam.v18i3.6054 

7. J. Hernández, S. A. Wani, T.  Alqurashi, W. Ramírez and J.D. Berrío. Certain properties and numerical applications of generalized hybrid special polynomials associated with Hermite polynomials.  Bol. Soc. Paran. Mat, 2025(43), 1-18. doi.org/10.5269/bspm.76485 

8. U. Duran , C. Kızılates, W. Ramírez and C. Cesarano. A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type . AIMS Mathematics, 10(7): 16117–16138.  www.aimspress.com/article/doi/10.3934/math.2025722  

9. M. Fadel, W. Ramírez, C. Cesarano and P. Buitrón. Certain properties of generalized and Higher–order q-Hermite polynomials:  monomiality and applications to their zero distributions. Bol. Soc. Paran. Mat, 2025(43), 1-18. dx.doi.org/10.5269/bspm.76349 

10. M. Zayed1,  T. Alqurashi , S. A. Wani, C. S. Ryoo   and W. RamÍrez.  Several characterizations of bivariate quantum-Hermite-Appell Polynomials and the structure of their zeros .  AIMS Mathematics, 10(5): 11184–11207.  https://www.aimspress.com/article/doi/10.3934/math.2025507 

11. W. Shahid, T. S, Rahman, W. Ramírez, C. Cesarano.  Exploring the properties of multivariable Hermite polynomials in relation to Apostol-type Frobenius–Genocchi polynomials. Georgian Math. J, 32(3) (2025), 515-528  doi.org/10.1515/gmj-2024-2071 

12. S. A. Wani,  T. Nahid, W. Ramírez,  M.B. Jeelani.  On a new family of degenerate-Sheffer polynomials and related hybrid forms via generating function.  Rendiconti del Circolo Matematico di Palermo Series 2.  74 (116)  (2025) .  https://doi.org/10.1007/s12215-025-01228-2 

13. S. A. Wani, M. Riyazat, W. Ramíez,   W.A. Khanc. Multivariate q-Hermite-based Appell polynomials: structural properties and applications.    Afr. Mat.  36, (79) (2025), 1-23.  https://doi.org/10.1007/s13370-025-01311-y 

14. F.  Mohammed, W. Ramırez, C.  Cesarano, S. Díaz. q-Legendre based Gould–Hopper polynomials and q-operational methods.   Ann Univ Ferrara 71, 32 (2025).  doi.org/10.1007/s11565-025-00587-z 

15. Ramírez, W., Díaz, S., Urieles, A. et al.   ∆_h Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle.   Afr. Mat. 36, 67 (2025) . doi.org/10.1007/s13370-025-01286-w 

16. Heredia-Moyanoa, M.F.,   Hernández, J.,  Khanc, W.A.,   Ramírez, W.,  Wanie, S.A. On discrete Appell polynomials of Apostol-Bernoulli-type polynomials and their patterns of distribution of zeros. J. Math. Computer Sci., 39 (2025), 280–291. dx.doi.org/10.22436/jmcs.039.02.07 

17. L. Castilla, W. Ramírez, C. Cesarano, S. A. Wani,  and M. F. Heredia-Moyano. A new class of generalized Apostol–type Frobenius–Euler polynomials .  AIMS Mathematics, 10(2) (2025), 3623–3641. www.aimspress.com/article/doi/10.3934/math.2025167   

18.  W. Ramirez, M. Ortega, D. Bedoya, A. Urieles.  New results parametric Apostol-type Frobenius-Euler polynomials and their matrix approach.  KRAGUJEVAC JOURNAL OF MATHEMATICS, 49(3) (2025), 411-429. imi.pmf.kg.ac.rs/kjm/en/index.php?page=10.46793/KgJMat2503.411R 

19. A. M. Alqahtani, S. A. Wani  and W. Ramírez. Exploring differential equations and fundamental properties of Generalized Hermite-Frobenius-Genocchi polynomials. AIMS Mathematics, 10(2) (2025), 2668–2683. www.aimspress.com/article/doi/10.3934/math.2025125 

20. F.  Mohammed, W. Ramırez, C.  Cesarano, S. Díaz. The 2-variable truncated Tricomi functions .  Dolomites Research Notes on Approximation, 18(1), 49-55.  drna.padovauniversitypress.it/2025/1/5 

21. S. Díaz, W. Ramírez , C. Cesarano, J. Hernández, E.C. Perez Rodriguez. The Monomiality Principle Applied to Extensions of Apostol-Type Hermite Polynomials. Eur. J. Pure Appl. Math, 18 (1) (2025), 5656. doi.org/10.29020/nybg.ejpam.v18i1.5656  

22. S.A.  Wani , S. Patil, W. Ramìrez, J. Hernàndez.  Some Families of Differential Equations for MultivariateHybrid Special Polynomials Associated with Frobenius-Genocchi Polynomials. Eur. J. Pure Appl. Math, 18 (1) (2025), 5575. doi.org/10.29020/nybg.ejpam.v18i1.5575  

23. Tabinda Nahida , Shahid Ahmad Wanib , Parvez Alama  and William Ramírez . Introducing a novel family of ∆h-Sheffer polynomials and their interconnected hybrid variants .  J. Math. Computer Sci., 2025, 36, 317-32. https://dx.doi.org/10.22436/jmcs.036.03.06 

24. W. Ramírez, C. Kızılates , D. Bedoya, C. Cesarano and C. S. Ryoo. On certain properties of three parametric kinds of Apostol-type unified Bernoulli-Euler polynomials.  AIMS Mathematics, 10(1): 137–158, 2025. 10.3934/math.2025008 

25. W. Ramírez, C. Cesarano, A. Urieles. On discrete orthogonal U-Bernoulli Korobov-type polynomials. CONSTRUCTIVE MATHEMATICAL ANALYSIS. 7, 2024, 1–10. 10.33205/cma.1502670 

26. C. Cesarano, Y. Quintana, W. Ramírez. Degenerate versions of hypergeometric Bernoulli-Euler polynomials. Lobachevskii J. Math. 45(8), 2024, 3509–3521. doi.org/10.1134/S1995080224604235 

27. W. Ramírez, C. Cesarano. Applying the monomiality principle to the new family of Apostol Hermite Bernoulli-type polynomials. Commun. Appl. Ind. Math. 15 (2), 2024, 28–35. doi.org/10.2478/caim-2024-0010 

28. Y. Quintana, W. Ramírez. A degenerate version of hypergeometric Bernoulli polynomials: announcement of results.  Commun. Appl. Ind. Math. 15 (2), 2024, 36–43.  doi.org/10.2478/caim-2024-0011 

29. Cesarano, C.; Quintana, Y.; Ramírez,W. A Survey on Orthogonal Polynomials from a Monomiality Principle Point of View. Encyclopedia 2024, 4, 1355–1366.  https://doi.org/10.3390/encyclopedia4030088

30. W. Ramírez, A. Urieles, E. Forero, M. J. Ortega and  M. Riyasat. A matrix approach to generalized Bernoulli–Fibonacci polynomials of order m and applications.  Bollettino dell’Unione Matematica Italiana. (2024),  https://doi.org/10.1007/s40574-024-00435-6 

31. Z. Mohra,  W. Shahid, W. Ramírez, C. Cesarano.  Advancements in q-Hermite-Appell polynomials: a three-dimensional exploration. AIMS Mathematics, 9(10): 26799–26824, 2024.   10.3934/math.20241303 

32. Ramírez W. ,  Wani S.A. ,  Riyasat M.,  Subuhi K. Certain advancements in multidimensional 𝑞-Hermite polynomials.  Reports on Mathematical Physics., Vol. 94 (1), 117- 141, (2024) . doi.org/10.1016/S0034-4877(24)00059-4 

33. Ramírez W. ,  Wani S.A. ,  Riyasat M.,  Subuhi K. Certain advancements in multidimensional 𝑞-Hermite polynomials.  Reports on Mathematical Physics., Vol. 94 (1), 117- 141, (2024) . doi.org/10.1016/S0034-4877(24)00059-4 

34. Ramírez W. , Cesarano C. ,  Wani S.A. , Yousuf S. , Bedoya D.  About properties and the monomiality principle of Bell-based Apostol-Bernoulli-type polynomials. Carpathian Math. Publ. 2024,  16 (2), 379-390.  doi:10.15330/cmp.16.2.379-390 

35.  Z. Mohra,  W. Shahid, I. Georgia, W. Ramírez, Unraveling multivariable Hermite-Apostol-type Frobenius-Genocchi polynomials via fractional operators.  AIMS Mathematics, 9(7), 17291 - 17304, 2024.  dx.doi.org/10.3934/math.2024840 

36.  W. Ramírez, Z. Mohra, W. Shahid, A. Mohammad, F. Fuente, Properties and applications of Bell polynomials of two variables.  J. Math. Computer Sci, 35, 291-303, 2024. dx.doi.org/10.22436/jmcs.035.03.03

37.  A. Urieles, W. Ramírez,  D. Bedoya,  C. Cesarano and M. Ortega, About family Apostol Fubini-Euler type polynomials: Fourier expansions and integral representation.   J. Math. Computer Sci, Volume 35, Issue 4, pp 457--470 , 2024.  dx.doi.org/10.22436/jmcs.035.04.05 

38. W. Ramírez, Z. Mohra, W. Shahid, I. Georgia,  A study on extended form of multivariable Hermite-Apostol type Frobenius-Euler polynomials via fractional operators. AIMS Mathematics, 9(6): 16297–16312, 2024. www.aimspress.com/article/doi/10.3934/math.2024789 

39. W. Ramírez, N. Junaid, W. Arundhati, G. Javid, R. Zahoor,  Introducing $\Delta_h$ Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations, J. Math. Computer Sci, 2024. dx.doi.org/10.22436/jmcs.035.01.07 

40. W. Ramírez, M.  Riyasat, A. Urieles, M. Ortega, L. Siado,  A new extension of generalized Pascal-type matrix and their representations via Riordan matrix, Bol. Soc. Mat. Mex, 2024. doi.org/10.1007/s40590-024-00609-4 

41. W. Ramírez,  A. Urieles, M. Ortega, L. Perez, J. Arenas,   On F-Frobenius-Euler polynomials and their matrix approach, J. Math. Computer Sci, J. Math. Computer Sci., 32 (2024), 377--386. doi.org/10.22436/jmcs.032.04.07 

42. W. Ramírez, R. Herrera,  A. Urieles, M. Ortega, New family type-Bernoulli polynomials and some aplication,  Dolomites' Research Notes on Approximation, 2023. drna.padovauniversitypress.it/2023/1/3 

43. W. Ramírez, C. Cesarano, A. Urieles, M. Ortega, D. Bedoya,  New $U$-Bernoulli, $U$-Euler and $U$-Genocchi polynomials and their matrices, Carpathian Math. Publ, 2023. doi.org/10.15330/cmp.15.2.449-467 

44. W. Ramírez, C. Cesarano, D. Bedoya, L. Castilla,  A new class of degenerate Biparametric Apostol–type polynomials,  Dolomites' Research Notes on Approximation, 2023. drna.padovauniversitypress.it/2023/1/2 

45. W. Ramírez, C. Cesarano, S. Díaz, A. Shamaoon, W.  Ahmad Khan,  On Apostol-Type Hermite Degenerated Polynomials,  Mathematics, 2023. doi.org/10.3390/math11081914 

46. W. Ramírez, C. Cesarano, D. Bedoya, S. Díaz, New Classes of Degenerate Unified Polynomials,  Axioms, 2023. doi.org/10.3390/axioms12010021 

47. W. Ramírez, C. Cesarano, Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials,  Carpathian Math. Publ, 2022.  doi.org/10.15330/cmp.14.2.354-363 

48. W. Ramírez, C. Cesarano, S.  Díaz, New results for degenerated generalized Apostol–Bernoulli, Apostol–Euler and Apostol–Genocchi polynomials,  WSEAS TRANSACTIONS on MATHEMATICS, 2022. doi.org/10.37394/23206.2022.21.69 

49. W. Ramírez, C. Cesarano,  S. Khan, A new class of degenerate Apostol-type Hermite polynomials and applications,  Dolomites' Research Notes on Approximation, 2022. drna.padovauniversitypress.it/2022/1/1 

50. W. Ramírez, D. Bedoya, A. Urieles, M. Ortega, New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-$m$, Matematychni Studii, 2021. doi.org/10.30970/ms.55.1.10-23 

51. W. Ramírez, M. Ortega, A. Urieles, New generalized Apostol-Frobenius-Euler polynomials and their matrix approach, Kragujevac Journal of Mathematics 2021.  doi.org/10.46793/KGJMAT2103.393O 

52. W. Ramírez, Y. Quintana,  A. Urieles, Euler matrices and their algebraic properties revisited, Applied Mathematics and Information Sciences, 2020. dx.doi.org/10.18576/amis/140407 

53. W. Ramirez, M. Ortega, D. Bedoya, A. Urieles, Fourier expansion and integral representation generalized Apostol-type Frobenius--Euler polynomials, Advances in Difference Equations, 2020. doi.org/10.1186/s13662-020-02988-0 

54. W. Ramírez, Y. Quintana, A. Urieles, Generalized Apostol-type polynomial matrix and its algebraic properties, Mathematical Reports, Vol. 21(71), No. 2 (2019), 249-264. www.imar.ro/journals/Mathematical_Reports/Pdfs/2019/2/9.pdf 

55. W. Ramírez, M. Ortega, S. Vega,  A. Urieles, New results on the q-generalized Bernoulli polynomials of level $m$, Demonstr. Math. 2019; 52:511–522,  2019. doi.org/10.1515/dema-2019-0039 

56. Y. Quintana, W. Ramírez, A. Urieles, On an operational matrix method based on generalized Bernoulli polynomials of level $m$,  Calcolo 55(3) (2018), 29 pages. doi.org/10.1007/s10092-018-0272-5 

57. L. Castilla, W. Ramírez, A. Urieles, An Extended Generalized $q$-Extensions for the Apostol Type Polynomials, Abstract and Applied Analysis, Volume 2018, Article ID 2937950, 13 pages. doi.org/10.1155/2018/2937950 

58. S. Díaz, W. Ramirez, J. Diaz, Correlación de las actitudes y el rendimiento académico en la asignatura de matemáticas, Revista Matua, 2016. investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1511/1224 

59. W. Ramirez, A. Urieles, On a family of Apostol-Type polynomials, Revista Matua, 2016. investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1518 

60. W. Ramirez, J. Romero, A. Urieles, A note on the Hardy inequality, Revista Matua, 2016.  investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1411 

61. W. Ramirez, J. Romero, A. Urieles, A note on negative order Bernoulli, Euler and Genocchi polynomials, Revista Matua, 2015.