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Commun. Korean Math. Soc. 2015; 30(4): 429-438
Printed October 31, 2015
https://doi.org/10.4134/CKMS.2015.30.4.429
Copyright © The Korean Mathematical Society.
Operational calculus associated with certain families of generating functions
Rehana Khan and Subuhi Khan
Aligarh Muslim University, Aligarh Muslim University
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.
Keywords: operational calculus, special functions, mixed generating functions, bilateral generating relations
MSC numbers: 33C45, 33C47, 33C65, 33B10
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