A new class of Laguerre-based generalized Apostol polynomials

• Autorzy: Khan N. U. , Usman T.

Identyfikatory

DOI

10.1515/fascmath-2016-0017

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce a unified family of Laguerre-based Apostol Bernoulli, Euler and Genocchi polynomials and derive some implicit summation formulae and general symmetry identities arising from different analytical means and applying generating functions. The result extend some known summations and identities of generalized Bernoulli, Euler and Genocchi numbers and polynomials.

Słowa kluczowe

EN

Laguerre-based Apostol Bernoulli polynomials; Laguerre-based Apostol Euler polynomials; Laguerre-based Apostol Genocchi polynomials; summation formulae; symmetric identities

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 57
• Strony: 67--89
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Khan N. U.

• Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India

autor

Usman T.

• Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh-202002, India

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.