Results 31 to 40 of about 376 (74)

q‐Extensions for the Apostol Type Polynomials

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
The aim of this work is to introduce an extension for q‐standard notations. The q‐Apostol type polynomials and study some of their properties. Besides, some relations between the mentioned polynomials and some other known polynomials are obtained.
Nazim I. Mahmudov, Marzieh Eini Keleshteri, Necdet Batir   +2 more
wiley   +1 more source

Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials [PDF]

Mathematics of Computation, 2011
We find Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. We give a very simple proof of them.
openaire   +2 more sources

General‐Appell Polynomials within the Context of Monomiality Principle

International Journal of Analysis, Volume 2013, Issue 1, 2013., 2013
A general class of the 2‐variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2‐variable general‐Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established.
Subuhi Khan, Nusrat Raza, Jacques Liandrat   +2 more
wiley   +1 more source

On Multiple Interpolation Functions of the Nörlund‐Type q‐Euler Polynomials

Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009
In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund‐type q‐Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q‐zeta function. This function interpolates Nörlund‐type q‐Euler polynomials at negative integers.
Mehmet Acikgoz, Yilmaz Simsek, Agacik Zafer   +2 more
wiley   +1 more source

Some New Symmetric Identities for the q-Zeta Type Functions

, 2013
The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan, Bagdasaryan, Armen, Ozel, Cenap, Srivastava, H. M.   +3 more
core   +1 more source

Interpolation function of the genocchi type polynomials

, 2010
The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Apostol T. M., Apostol T. M., Burak Kurt, Choi J., H. M. Srivastava, Jang L.-C., Jang L.-C., Jang L.-C., Kim T., Kim T., Kim T., Kim T., Kim T., Luo Q.-M., Luo Q.-M., Luo Q.-M., Luo Q.-M., Ozden H., Simsek Y., Srivastava H. M., Srivastava H. M., Srivastava H. M., Yilmaz Simsek, Zhang Z.-Z.   +23 more
core   +1 more source

On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Axioms
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Asymptotic approximations of Apostol-Frobenius-Euler polynomials of order α in terms of hyperbolic functions

Demonstratio Mathematica
The study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B., Castañeda Wilson D., Corcino Roberto B.   +2 more
doaj   +1 more source

Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

, 2015
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.
Acikgoz, Mehmet, Araci, Serkan, Bagdasaryan, Armen, He, Yuan   +3 more
core  

Identities on the k-ary Lyndon words related to a family of zeta functions

, 2016
The main aim of this paper is to investigate and introduce relations between the numbers of k-ary Lyndon words and unified zeta-type functions which was defined by Ozden et al [15, p. 2785].
Kucukoglu, Irem, Simsek, Yilmaz
core