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Hardy's summation, Bose-Einstein integral and q-version of Bose-Einstein type kernel
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This paper relates succintly how Hardy’s concept of summation can be associated with Lerch zeta function that leads to Bose-Einstein Integral, and ultimately to Lindelof-Wirtinger analytic expansion. By using generating function of q-Bernoulli numbers, we also define generating function of Bose-Einstein type kernel.
Abstract
This paper relates succintly how Hardy’s concept of summation can be associated with Lerch zeta function that leads to Bose-Einstein Integral, and ultimately to Lindelof-Wirtinger analytic expansion. By using generating function of q-Bernoulli numbers, we also define generating function of Bose-Einstein type kernel.
관련 논문AI추천
ON THE q-EXTENSIONS OF THE BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND LERCH ZETA FUNCTION김영희, 김태균, 황경원장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제1호Analytic continuation of weighted q-Genocchi numbers and polynomialsAynur Gursul, Mehmet Acikgoz, Serkan Araci대한수학회 · 대한수학회논문집2013 · 제28권 제3호An extension of the extended Hurwitz-Lerch Zeta Functions of Two Variables최준상, Rakesh K. Parmar, Ram K. Saxena대한수학회 · 대한수학회보2017 · 제54권 제6호On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions김대열, 김태균, 임석훈, Yilmaz Simsek대한수학회 · 대한수학회지2008 · 제45권 제2호Incomplete extended Hurwitz-Lerch zeta functions and associated propertiesRakesh K. Parmar, Ram K. Saxena대한수학회 · 대한수학회논문집2017 · 제32권 제2호Unification of multiple Lerch zeta type functionsA. Ahmet Aygunes, Yilmaz Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호
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