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Operational calculus associated with certain families of generating functions

Rehana Khan|Subuhi Khan
대한수학회 (The Korean Mathematical Society)|2015.10|대한수학회논문집 (Communications of the KMS)|제30권 제4호|pp. 429-438

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참고문헌

키워드

special functionsoperational calculusmixed generating functionsbilateral generating relations
주제분류수학

초록

In this paper, we discuss how the operational calculus can be exploited to the theory of mixed generating functions. We use operational methods associated with multi-variable Hermite polynomials, Laguerre polynomials and Bessels functions to drive identities useful in electromagnetism, fluid mechanics etc. Certain special cases giving bilateral generating relations related to these special functions are also discussed.

Abstract

In this paper, we discuss how the operational calculus can be exploited to the theory of mixed generating functions. We use operational methods associated with multi-variable Hermite polynomials, Laguerre polynomials and Bessels functions to drive identities useful in electromagnetism, fluid mechanics etc. Certain special cases giving bilateral generating relations related to these special functions are also discussed.

참고문헌 (16)

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  11. S. Khan, "Lie-theoretic generating relations involving multi-variable Hermite-Tricomi functions", Integral Transforms Spec. Funct, 20(5-6), pp.365~375 (2009)
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  16. A. Wrulich, "Beam Life-Time in Storage Ring" (1992), CERN Accelerator School

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