Books, publications, and talks
Combinatorics and Number Theory of Counting Sequences
I published a book on combinatorial counting sequences. For more information, please see the webpage of the publisher.
The book was recognized by CHOICE magazine as a recommended title among 2020 publications.
The Lambert W function: Its Generalizations and Applications
My second book has been published. It is on the ubiquitous Lambert W function and its applications and generalizations. Please check the publisher's webpage for more information.
Scientific articles
Below is a shorter list of my selected papers. If you would like to see the full list, please click here.
For the citations, please see this pdf file.
The list of my conference talks is here.
Special Function Theory
Several identities, estimates and special values for the elliptic theta functions, J. Math. Anal. Appl. 527(2) (2023), 127515.
Resolution of the Plane-symmetric Einstein-Maxwell fields with a generalization of the Lambert W function, J. Phys. Commun 4 (2020), 085008 (with C. Corcino and R. Corcino)
A family of polylog-trigonometric integrals, Ramanujan J. 46(1) (2018), 161-171.
Zeros of the digamma function and its Barnes G-function analogue, Integral Transforms Spec. Funct. 28(11) (2017), 846-858. (with M. E. Hoffman)
On the structure of the solution set of a generalized Euler-Lambert equation, J. Math. Anal. Appl. 455(1) (2017), 538-553.
On the generalization of the Lambert W function, Trans. Amer. Math. Soc. 369(11) (2017) 7917-7934. (with Á. Baricz).
Bounds for the asymptotic order parameter of the stochastic Kuramoto model, J. Approx. Theory 217 (2017), 1-14. (with Á. Baricz)
Some physical applications of generalized Lambert functions, European J. Phys. 37(6) (2016), 065802. (with G. Keady)
Radii of starlikeness and convexity of some q-Bessel functions, J. Math. Anal. Appl. 435 (2016), 968-985. (with Á. Baricz and D. K. Dimitrov)
On the coefficients of power sums of arithmetic progressions, J. Number Th. 153 (2015), 117-123. (with A. Bazsó)
Nonlinear Euler sums, Pacific J. Math. 272(1) (2014), 201-226.
Some infinite sums arising from the Weierstrass product theorem, Appl. Math. Comput. 219 (2013), 9838-9846.
The Primorial and the Riemann zeta function, Amer. Math. Monthly 120(4) (2013), p. 321.
Duplication formulae involving Jacobi theta functions and Gosper's q-trigonometric functions, Proc. Amer. Math. Soc. 141(7) (2013), 2401-2410.
A q-Raabe formula and an integral of the fourth Jacobi theta function, J. Number Th. 133(2) (2012), 692-702.
Hyperharmonic series involving Hurwitz zeta function, J. Number Th. 130(2) (2010), 360-369. (with A. Dil)
Lattice Theory
The restricted partition lattices, J. Algebraic Combin. 53 (2021), 49-58.
Combinatorics
The r-Bessel and restricted r-Bell numbers, Australas. J. Comb. 70(2) (2017), 202-220. (with J.-H. Jung and J. L. Ramírez)
Divisibility properties of the r-Bell numbers and polynomials, J. Number Th. 177 (2017), 136-152. (with J. L. Ramírez)
The r-derangement numbers, Discrete Math. 340(7) (2017), 1681-1692. (with C.-Y. Wang and P. Miska)
Some limit theorems with respect to constrained permutations and partitions, Monat. Math. 182(1) (2017), 155-164. (with C.-Y. Wang).
Real zeros and partitions without singleton blocks, Eur. J. Comb. 51 (2016), 500-510. (with M. Bóna)
The estimation of the zeros of the Bell and r-Bell polynomials, Appl. Math. Comput. 250 (2015), 727-732. (with R. Corcino)
A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices, Discrete Math. 328 (2014), 88-95.
A new formula for the Bernoulli polynomials, Result. Math. 58(3) (2010), 329-335.
On the maximum of r-Stirling numbers, Adv. Appl. Math. 41(3) (2008), 293-306.
Topology
On the metrization of the infinite partition lattice, Topology and its Appl. 342 (2024), Article no. 108786.
A class of dense subsets on the real line, Math. Gazette 98(542) (2014), 332-334.
Some observations on the Furstenberg topological space, Elem. Math. 70 (2015), 103-116. (with R. Lovas)