New families of special numbers for computing negative order Euler numbers and related numbers and polynomials

Y Simsek - Applicable Analysis and Discrete Mathematics, 2018 - JSTOR
The main purpose of this paper is to construct new families of special numbers with their
generating functions. These numbers are related to many well-known numbers, which are …

Generating functions for the generalized Gauss hypergeometric functions

HM Srivastava, P Agarwal, S Jain - Applied Mathematics and Computation, 2014 - Elsevier
Formulas and identities involving many well-known special functions (such as the Gamma
and Beta functions, the Gauss hypergeometric function, and so on) play important rôles in …

Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers

G Ozdemir, Y Simsek - Filomat, 2016 - JSTOR
The purpose of this paper is to construct generating functions for the family of the Fibonacci
and Jacobsthal polynomials. Using these generating functions and their functional …

Frobenius-Euler and Frobenius-Genocchi polynomials and their differential equations

BY Yaşar, MA Özarslan - New Trends in Mathematical Sciences, 2015 - dergipark.org.tr
Frobenius-Euler and Frobenius-Genocchi polynomials and their differential equations Page
1 NTMSCI 3, No. 2, 172-180 (2015) 172 New Trends in Mathematical Sciences http://www.ntmsci.com …

[PDF][PDF] Special numbers on analytic functions

Y Simsek - Applied Mathematics, 2014 - pdfs.semanticscholar.org
The aim of this paper is to give some analytic functions which are related to the generating
functions for the central factorial numbers. By using these functions and p-adic Volkenborn …

A note on generating functions involving the generalized Gauss hypergeometric functions

P Agarwal, M Chand, SD Purohit - National Academy Science Letters, 2014 - Springer
A Note on Generating Functions Involving the Generalized Gauss Hypergeometric Functions |
SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal …

Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials

MA Özarslan - Advances in Difference Equations, 2013 - Springer
In this paper, we introduce a unified family of Hermite-based Apostol-Bernoulli, Euler and
Genocchi polynomials. We obtain some symmetry identities between these polynomials and …

[PDF][PDF] Certain generating functions involving Appell series

J Choi, P Agarwal - Far East Journal of Mathematical Sciences, 2014 - academia.edu
Generating functions play an important role in the investigation of various useful properties
of the sequences which they generate. Here we aim at presenting (presumably) new …

On the (p, q)–Chebyshev Polynomials and Related Polynomials

C Kızılateş, N Tuğlu, B Çekim - Mathematics, 2019 - mdpi.com
In this paper, we introduce (p, q)–Chebyshev polynomials of the first and second kind that
reduces the (p, q)–Fibonacci and the (p, q)–Lucas polynomials. These polynomials have …

[PDF][PDF] Some classes of generating relations associated with a family of the generalized Gauss type hypergeometric functions

SD Lin, HM Srivastava, JC Yao - Applied Mathematics …, 2015 - digitalcommons.aaru.edu.jo
In recent years, several interesting families of generating functions for various classes of
hypergeometric and generalized hypergeometric functions in one, two and more variables …