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q-Extensions for the Apostol Type Polynomials

\(q\)-extensions for the Apostol type polynomials
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,014, pages 1-8 (issn: 1110-757X, eissn: 1687-0042, Copyright policy )
Authors: Nazim I. Mahmudov; Marzieh Eini Keleshteri;

doi: 10.1155/2014/868167

handle: 11129/15538

q-Extensions for the Apostol Type Polynomials

Abstract

The aim of this work is to introduce an extension forq-standard notations. Theq-Apostol type polynomials and study some of their properties. Besides, some relations between the mentioned polynomials and some other known polynomials are obtained.

Related Organizations
Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Euler, Bernoulli Polynomials, QA1-939, Bernoulli and Euler numbers and polynomials, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
gold