Two-sided inequalities for the extended Hurwitz-Lerch Zeta function

Computers and Mathematics with Applications

Volumn 62, Issue 1, 2011, Pages 516-522

  Srivastava, H M ^a   Jankov, Dragana ^b   Pogány, Tibor K ^c   Saxena, R K ^d  

^a UNIVERSITY OF VICTORIA   (Canada)

^b JOSIP JURAJ STROSSMAYER UNIVERSITY OF OSIJEK   (Croatia)

^c University of Rijeka   (Croatia)

^d JAI NARAIN VYAS UNIVERSITY   (India)

Author keywords

Extended HurwitzLerch Zeta function; Fox Wright p q; function; Hypergeometric pFq function; Mathieu (a, ) series techniques; Psi (or Digamma) function; Two sided bounding inequalities

Indexed keywords

GENERALIZED HYPERGEOMETRIC FUNCTIONS; HURWITZ-LERCH ZETA FUNCTION; HYPERGEOMETRIC PFQ FUNCTION; INTEGRAL REPRESENTATION; PSI (OR DIGAMMA) FUNCTION; SPECIAL FUNCTIONS; TWO-SIDED BOUNDING INEQUALITY;

FUNCTIONS;

EID: 79959521359     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.05.035     Document Type: Article

References (18)

1. A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo Theory and Applications of Fractional Differential Equations North-Holland Mathematical Studies vol. 204 2006 Elsevier (North-Holland) Science Publishers Amsterdam, London, New York
2. H.M. Srivastava, R.K. Saxena, T.K. Pogány, and R. Saxena Integral and computational representations of the extended HurwitzLerch Zeta function Integral Transforms Spec. Funct. 22 2011 487 506
3. S.-D. Lin, and H.M. Srivastava Some families of the HurwitzLerch Zeta functions and associated fractional derivative and other integral representations Appl. Math. Comput. 154 2004 725 733
4. S.P. Goyal, and R.K. Laddha On the generalized Zeta function and the generalized Lambert function Ganita Sandesh 11 1997 99 108
5. M. Garg, K. Jain, and S.L. Kalla A further study of general HurwitzLerch zeta function Algebras Groups Geom. 25 2008 311 319
6. H.M. Srivastava, and J. Choi Series Associated with the Zeta and Related Functions 2001 Kluwer Academic Publishers Dordrecht, Boston, London
7. J. Choi, and H.M. Srivastava Certain families of series associated with the HurwitzLerch Zeta function Appl. Math. Comput. 170 2005 399 409 (Pubitemid 41454821)
8. P.L. Gupta, R.C. Gupta, S.-H. Ong, and H.M. Srivastava A class of HurwitzLerch Zeta distributions and their applications in reliability Appl. Math. Comput. 196 2008 521 532
9. S.-D. Lin, H.M. Srivastava, and P.-Y. Wang Some expansion formulas for a class of generalized HurwitzLerch Zeta functions Integral Transforms Spec. Funct. 17 2006 817 827 (Pubitemid 44549940)
10. T.K. Pogány Integral representation of Mathieu (a, λ ) -series Integral Transforms Spec. Funct. 16 2005 685 689
11. F. Qi Inequalities for Mathieu series RGMIA Res. Rep. Coll. 4 2 2001 187 193 Article 3
12. P. Cerone, and C.T. Lenard On integral forms of generalized Mathieu series J. Inequal. Pure Appl. Math. 4 5 2003 Article 100, 111 (electronic)
13. H.M. Srivastava, and. Tomovski Some problems and solutions involving Mathieu's series and its generalizations J. Inequal. Pure Appl. Math. 5 2 2004 Article 45, 113 (electronic)
14. T.K. Pogány, H.M. Srivastava, and. Tomovski Some families of Mathieu a-series and alternating Mathieu a-series Appl. Math. Comput. 173 2006 69 108 (Pubitemid 43210429)
15. D. Jankov, T.K. Pogány, and R.K. Saxena Extended general HurwitzLerch Zeta function as Mathieu (a, λ ) series Appl. Math. Lett. 24 8 2011 1473 1476
16. T.K. Pogány, and H.M. Srivastava Some Mathieu-type series associated with the FoxWright function Comput. Math. Appl. 57 2009 127 140
17. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables Applied Mathematics Series vol. 55 1964 National Bureau of Standards Washington, DC Reprinted by Dover Publications, New York, 1965
18. N. Elezovi, C. Giordano, and J. Peari The best bounds in Gautschi's inequality Math. Inequal. Appl. 3 2000 239 252