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Gegenbauer多项式的一种新推广

IF 0.4 Q4 MATHEMATICS
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2021-08-10 DOI:10.26713/JIMS.V13I2.1635
U. Abubakar
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引用次数: 0

摘要

本文通过考虑MacDonald函数定义的新的扩展伽马函数，介绍了一元和二元Gegenbauer多项式的新推广。给出并研究了这种新的广义Gegenbauer多项式的积分公式、Mellin变换、递归关系和生成函数等性质。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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A New Generalization of Gegenbauer Polynomials
In this work, the author introduces new generalization of Gegenbauer polynomials of one and two variables by considering new extended gamma function defined by MacDonald function. Certain properties of this new generalized Gegenbauer polynomials like integral formulas, Mellin transform, recurrence relationsand generating function are presented and investigated.
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来源期刊
Iranian Journal of Mathematical Sciences and Informatics
Iranian Journal of Mathematical Sciences and Informatics MATHEMATICS-
CiteScore
0.90
自引率
0.00%
发文量
20
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