[PDF][PDF] Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials

S Gaboury, R Tremblay, BJ Fugère - Proc. Jangjeon Math. Soc, 2014 - researchgate.net
In recent years, the subject of Apostol-Bernoulli polynomials, Apostol-Euler polynomials and
Apostol-Genocchi polynomials have been studied extensively. Recently, the authors have …

Higher order generalized geometric polynomials

L Kargin, B Cekim - Turkish Journal of Mathematics, 2018 - journals.tubitak.gov.tr
According to the generalized Mellin derivative, we introduce a new family of polynomials
called higher order generalized geometric polynomials and obtain some arithmetical …

Method for obtaining coefficients of powers of bivariate generating functions

D Kruchinin, V Kruchinin, Y Shablya - Mathematics, 2021 - mdpi.com
In this paper, we study methods for obtaining explicit formulas for the coefficients of
generating functions. To solve this problem, we consider the methods that are based on …

[PDF][PDF] Explicit formulas for some generalized polynomials

DV Kruchinin, VV Kruchinin - Applied Mathematics & Information …, 2013 - core.ac.uk
Explicit Formulas for Some Generalized Polynomials Page 1 Appl. Math. Inf. Sci. 7, No. 5,
2083-2088 (2013) 2083 Applied Mathematics & Information Sciences An International Journal …

Explicit formulas for Meixner polynomials

DV Kruchinin, YV Shablya - International Journal of …, 2015 - Wiley Online Library
Explicit Formulas for Meixner Polynomials Page 1 Research Article Explicit Formulas for Meixner
Polynomials Dmitry V. Kruchinin1,2 and Yuriy V. Shablya1 1Tomsk State University of Control …

[HTML][HTML] Higher-order tangent and secant numbers

D Cvijović - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, the higher-order tangent numbers and higher-order secant numbers,{T (n, k)}
n, k= 0∞ and {S (n, k)} n, k= 0∞, have been studied in detail. Several known results …

-Stirling numbers associated to potential polynomials

JA Adell, B Bényi - arxiv preprint arxiv:2410.12550, 2024 - arxiv.org
We introduce the $ B $-Stirling numbers of the first and second kind, which are the
coefficients of the potential polynomials when we express them in terms of the monomials …

𝑞-Extensions of Some Results Involving the Luo-Srivastava Generalizations of the Apostol-Bernoulli and Apostol-Euler Polynomials

QM Luo - Filomat, 2014 - JSTOR
Carlitz firstly defined the 𝑞-Bernoulli and 𝑞-Euler polynomials [Duke Math. J., 15 (1948), 987–
1000]. Recently, M. Cenkci and M. Can [Adv. Stud. Contemp. Math., 12 (2006), 213–223], J …

Elliptic extensions of the Apostol–Bernoulli and Apostol–Euler polynomials

QM Luo - Applied Mathematics and Computation, 2015 - Elsevier
Elliptic extensions of the Apostol–Bernoulli and Apostol–Euler polynomials - ScienceDirect
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A library for calculating polynomials based on compositae of generating functions

DV Kruchinin, VS Melman, YV Shablya… - AIP Conference …, 2019 - elibrary.ru
In this paper, the relevance of searching for computational methods for obtaining
polynomials is shown. The authors propose to use a library for Wolfram Mathematica as …