一类一般多项式的p-变形及其性质

Q4 Mathematics Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI:10.18311/JIMS/2018/17945

Rajesh V. Savalia, B. I. Dave

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引用次数: 1

摘要

这项工作结合了通过p-广义伽玛函数对Srivastava Pathan广义多项式的扩展：Γp和Pochhammer p-符号（x）n，p，这是由Rafael Diaz和Eddy Pariguan[Divulgaciones Mathematicas Vol.15，No.2（2007），pp.179-192]引起的。借助于一般逆定理，我们建立了这个扩展多项式的逆级数关系。我们还得到了生成函数关系和微分方程。某些p-变形的组合恒等式在最后一节中进行了说明。

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p-Deformation of a General Class of Polynomials and its Properties

The work incorporates the extension of the Srivastava-Pathan’s generalized polynomial by means of p-generalized gamma function: Γ p and Pochhammer p-symbol (x) n,p due to Rafael Diaz and Eddy Pariguan [Divulgaciones Mathematicas Vol.15, No. 2(2007), pp. 179-192]. We establish the inverse series relation of this extended polynomial with the aid of general inversion theorem. We also obtain the generating function relations and the differential equation. Certain p -deformed combinatorial identities are illustrated in the last section.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.