Results 51 to 60 of about 1,076 (103)
New families of special numbers and polynomials arising from applications of p-adic q-integrals
Advances in Difference Equations, 2017 In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions ...
Daeyeoul Kim +3 more
doaj +1 more source
Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 The Bernoulli polynomials Bk restricted to [0, 1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0, 1) are linear combinations of terms of the form 1/nk. If we can make this linear combination explicit for a specific family of polynomials,
Luis M. Navas +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 11, Page 9169-9179, 30 July 2024.Although it is very easy to calculate the 1st moment and 2nd moment values of the geometric distribution with the methods available in existing books and other articles, it is quite difficult to calculate moment values larger than the 3rd order. Because in order to find these moment values, many higher order derivatives of the geometric series and ...
Buket Simsek
wiley +1 more source
Some New Classes of Generalized Apostol‐Euler and Apostol‐Genocchi Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 The main object of this paper is to introduce and investigate two new classes of generalized Apostol‐Euler and Apostol‐Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol‐Euler polynomials.
R. Tremblay +3 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 +2 more
wiley +1 more source
On the q‐Extension of Apostol‐Euler Numbers and Polynomials
Abstract and Applied Analysis, Volume 2008, Issue 1, 2008., 2008 Recently, Choi et al. (2008) have studied the q‐extensions of the Apostol‐Bernoulli and the Apostol‐Euler polynomials of order n and multiple Hurwitz zeta function. In this paper, we define Apostol′s type q‐Euler numbers En,q,ξ and q‐Euler polynomials En,q,ξ(x). We obtain the generating functions of En,q,ξ and En,q,ξ(x), respectively.
Young-Hee Kim +3 more
wiley +1 more source
On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials
AxiomsThis 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 +3 more
doaj +1 more source
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
, 2007 This is a short survey of a class of functions introduces by Tom Apostol. The survey is focused on their relation to Eulerian polynomials, derivative polynomials, and also on some integral representations.
openaire +2 more sources
Some identities of higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus [PDF]
, 2013 In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus to have alternative ways ...
Dolgy, Dmitry v. +3 more
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