Certain Indefinite Integrals Involving Harmonic Number
pochhammer symbol; gaussian hypergeometric function; harmonic number
Abstract
In this paper we have established certain indefinite integrals involving Harmonic Number. The results represent here are assume to be new.
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References
Milton Abramowitz, Irene Stegun (1970) Abramowitz, Milton., A and Stegun, Irene ; Handbook of Mathematical Functions with Formulas , Graphs , and Mathematical Tables.
Arthur, Gregory, Jennifer Quinn (2002) A Stirling Encounter with Harmonic Numbers. 75(2), 95103.
Jesús Guillera, Jonathan Sondow (2008) Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent. 16(3), 247-270. https://doi.org/10.1007/s11139-007-9102-0
M. Qureshi, Salahuddin Salahuddin, M. Chaudhary, K. Quraishi (2010) Evaluation of Certain Elliptic Type Single, Double Integrals of Ramanujan and Erd´elyi. 2(1), 148-156. https://doi.org/10.5539/jmr.v2n1p148
Elias Stein, Guido Weiss (1971) Stein, Elias, Weiss, Guido ; Introduction to Fourier Analysis on Euclidean Spaces, Prince- ton.
Published
2014-08-11
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