Some families of the Hurwitz-Lerch Zeta functions and associated fractional derivative and other integral representations

Applied Mathematics and Computation

Volumn 154, Issue 3, 2004, Pages 725-733

  Lin, Shy Der ^a   Srivastava, H M ^b  

^a CHUNG YUAN CHRISTIAN UNIVERSITY   (Taiwan)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Euler transformation; Eulerian integral of the second kind; Fox Wright generalized hypergeometric function; Gauss hypergeometric function; Hankel's loop; Hurwitz Lerch Zeta functions; Riemann Liouville fractional derivative; Sum integral representations

Indexed keywords

INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING;

EULER TRANSFORMATION; EULERIAN INTEGRAL OF THE SECOND KIND; FOX-WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION; GAUSS HYPERGEOMETRIC FUNCTION; HANKEL'S LOOP; HURWITZ-LERCH ZETA FUNCTIONS; MELLIN-BARNES CONTOUR; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE; SUM-INTEGRAL REPRESENTATIONS;

FUNCTIONS;

EID: 3042752343     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00746-X     Document Type: Article

References (9)

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