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
(<i>p</i>,<i>ν</i>)-extended Beta function,(<i>p</i>,<i>ν</i>)-extended Gauss hypergeometric function,(<i>p</i>,<i>ν</i>)-extended confluent hypergeometric function,(<i>p</i>,<i>ν</i>)-extended Mathieu-type series,modified Bessel function of the second kind,bounding inequalities for (<i>p</i>,<i>ν</i>)-extended Mathieu-type series
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