Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 12 (2017), 193 -- 201

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A NEW CLASS OF INTEGRAL RELATION INVOLVING ℵ-FUNCTIONS

D.L. Suthar and Belete Debalkie

Abstract. The present article is devoted to evaluate new integral relations involving the ℵ-functions. The results are expressed in the terms of the Psi functions. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, six cases are also recorded here as special case of our main results.

2010 Mathematics Subject Classification: 33C45; 33C60.
Keywords: ℵ-function; Psi (or digamma) functions ψ(z).

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D.L. Suthar,
Department of Mathematics,
Wollo University, Dessie,
P.O. Box: 1145, South Wollo, Amhara Region, (Ethiopia).
e-mail: dlsuthar@gmail.com

Belete Debalkie,
Department of Mathematics,
Wollo University, Dessie,
P.O. Box: 1145, South Wollo, Amhara Region, (Ethiopia).
e-mail: beletedebalkie@gmail.com

http://www.utgjiu.ro/math/sma