Unified (p, q)-Bernoulli-Hermite polynomials

• Autorzy: Pathan M. A.

Identyfikatory

DOI

0.1515/fascmath-2018-0022

• Języki publikacji: EN

Abstrakty

EN

The Concepts of p-Bernoulli numbers B_n,p and p-Bernoulli polynomials B_n,p(x) are generalized to (p,q)-Bernoulli numbers Bn p q and (p,q)-Bernoulli polynomials Bn p q(x), respec- tively. Some properties, generating functions and Laplace hy- pergeometric integral representations of (p, q)-Bernoulli numbers B_n,p,q and (p,q)-Bernoulli polynomials B_n,p,q(x), are established. Unified (p,q)-Bernoulli-Hermite polynomials are defined by a generating function which aid in proving the generalizations of the results of Khan et al [8], Kargin and Rahmani [7], Dattoli [4] and Pathan [9]. Some explicit summation formulas and some relationships between Appell’s function F₁, Gauss hypergeomtric function, Hurwitz zeta function and Euler’s polynomials are also given.

Słowa kluczowe

EN

Bernoulli polynomials and Bernoulli numbers; generating functions; Gauss hypergeometric function; Hurwitz zeta function and Euler’s polynomials

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 61
• Strony: 125--141
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Pathan M. A.

• Centre for Mathematical and Statistical Sciences (Cmss) Peechi P.O. Thrissur, Kerala-680653, India

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).