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On Certain Recurrence Relations
Author(s) -
Srivastava Aruna,
Gupta K. C.
Publication year - 1970
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19700460103
Subject(s) - recurrence relation , mathematics , hypergeometric function , character (mathematics) , function (biology) , pure mathematics , special functions , generalized hypergeometric function , algebra over a field , combinatorics , geometry , evolutionary biology , biology
In this paper first we establish six recurrence relations for the H ‐function with the help of certain formulae concerning generalized B ESSEL function. Later on, we obtain recurrence relations for M EIJER'S G ‐function, G AUSS'S hypergeometric function and B ESSEL function. On account of the general character of the H ‐function, recurrence relations for other special functions can also be obtained as special cases of our results. Two well‐known results obtained earlier by Prof. M EIJER follow as special cases of our findings.
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