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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.
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참고문헌 (16)
참고문헌 신청
A. Wrulich / 1992 / Beam Life-Time in Storage Ring / CERN Accelerator School
G. Dattoli / 1996 / Theory and Applications of Generalized Bessel Functions / Aracne
G. Dattoli / 1997 / Evolution operator equations: in-tegration with algebraic and finite difference methods, applications to physical problem in classical and quantum mechani
G. Dattoli / 1998 / Operational methods and two variable Laguerre polynomials / Atti Accad. Sci Torino. CI. Sci. Fis. Mat. Natur 132 : 3 ~ 9
G. Dattoli / 1999 / Multivariable Lagrange expansion and gen-eralization of the Carlitz-Srivastava generating functions / preprint
G. Dattoli / 1996 / Theory and Applications of Generalized Bessel Functions / Aracne
G. Dattoli / 1997 / Evolution operator equations: in-tegration with algebraic and finite difference methods, applications to physical problem in classical and quantum mechani
G. Dattoli / 1998 / Operational methods and two variable Laguerre polynomials / Atti Accad. Sci Torino. CI. Sci. Fis. Mat. Natur 132 : 3 ~ 9
G. Dattoli / 1999 / Multivariable Lagrange expansion and gen-eralization of the Carlitz-Srivastava generating functions / preprint
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