Results 31 to 40 of about 1,405 (108)

Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions

Turkish Journal of Mathematics and Computer Science, 2023
In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol ...
Elif GÜLAL, Naim TUGLU
openaire   +3 more sources

Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials

Advances in Difference Equations, 2020
Fourier expansions of higher-order Apostol–Genocchi and Apostol–Bernoulli polynomials are obtained using Laurent series and residues. The Fourier expansion of higher-order Apostol–Euler polynomials is obtained as a consequence.
Cristina B. Corcino, Roberto B. Corcino
doaj   +1 more source

A Note on the Poly‐Bernoulli Polynomials of the Second Kind

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this paper, we define the poly‐Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly‐Bernoulli polynomials of the second kind and study some properties of those polynomials.
Sang Jo Yun, Jin-Woo Park, Serkan Araci
wiley   +1 more source

Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials

Mathematics, 2023
A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed, Shahid Ahmad Wani, Yamilet Quintana   +2 more
doaj   +1 more source

On a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials [PDF]

, 2014
The main purpose of this paper is to introduce and investigate a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials. The $q$-analogues of well-known formulas are derived.
Mahmudov, N. I., Momenzadeh, M.
core   +3 more sources

Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods

Axioms, 2018
In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
doaj   +1 more source

Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials [PDF]

Advances in Difference Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Araci, Serkan, He, Yuan
openaire   +2 more sources

Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials

Journal of Inequalities and Applications, 2009
The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang, Young-Hee Kim, Taekyun Kim   +2 more
doaj   +1 more source

Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling

Mathematics, 2023
In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential ...
Yongsheng Rao, Waseem Ahmad Khan, Serkan Araci, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Higher-order frobenius-Euler and poly-Bernoulli mixed type polynomials [PDF]

, 2013
In this paper, we consider higher-order Frobenius-Euler polynomi- als associated with poly-Bernoulli polynomials which are derived from polylogarithmic function.
Kim, Dae San, kim, Taekyun
core   +2 more sources