On Mathieu-Type Series with (p,?)-Extended Hypergeometric Terms: Integral Representations and Upper Bounds
Mathematics(2023)
摘要
Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a (p,?)-extended Gauss hypergeometric function. Contiguous recurrence relations are found for the Mathieu-type series with respect to two parameters, and finally, particular cases and related bounding inequalities are established.
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关键词
(p, v)-extended Beta function,(p, v)-extended Gauss hypergeometric function,(p, v)-extended confluent hypergeometric function,(p, v)-extended Mathieu-type series,modified Bessel function of the second kind,bounding inequalities for (p, v)-extended Mathieu-type series
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