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On Mathieu-Type Series with (<i>p</i>,<i>ν</i>)-Extended Hypergeometric Terms: Integral Representations and Upper Bounds

Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>p</mi><mo>,</mo><mi>ν</mi><mo>)</mo></mrow><...

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Príomhchruthaitheoirí: Rakesh K. Parmar, Tibor K. Pogány, S. Saravanan
Formáid: Artigo
Teanga:Inglês
Foilsithe / Cruthaithe: MDPI AG 2023-04-01
Sraith:Mathematics
Ábhair:
(<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
Rochtain ar líne:https://www.mdpi.com/2227-7390/11/7/1710
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