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On the bilateral generating functions of simple Bessel polynomial

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Abstract

In this note the bilateral generating relation of simple Bessel polynomial derived by Das, Chongdar and Chatterjea has been extended by using the group-theoretic method. An application of our result is also pointed out.

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References

  1. Chatterjea S K, Unification of a class of bilateral generating functions for certain special functions.Bull. Calcutta Math. Soc. 67 (1975) 115–127

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  2. Chongdar A K and Chatterjea S K, On a class of trilateral generating relations with Tchebycheff polynomials from the view point of one parameter group of continuous transformations,Bull. Calcutta Math. Soc. 73 (1981) 127–140

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  3. Das M K, Sur les polyňomes de Bessel,C.R. Acad. Sc. Paris A271 (1970) 408–411

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  4. McBride E B,Obtaining generating functions (Springer Verlag) (1971)

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Authors and Affiliations

  1. Dept. of Mathematics, Bangabasi Evening College, 700009, Calcutta, India

    A K Chongdar

  2. 104, Netaji Subhas Road, 700034, Calcutta, India

    M C Mukherjee

Authors
  1. A K Chongdar
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  2. M C Mukherjee
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Chongdar, A.K., Mukherjee, M.C. On the bilateral generating functions of simple Bessel polynomial. Proc. Indian Acad. Sci. (Math. Sci.) 98, 59–62 (1988). https://doi.org/10.1007/BF02880971

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  • DOI: https://doi.org/10.1007/BF02880971

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