References
- Alexander , J. W. 1915 . Functions which map the interior of the unit circle upon simple regions . Ann. Math. , 17 : 12 – 22 .
- Bernardi , S. D. 1969 . Convex and starlike univalent functions . Trans. Amer. Math. Soc. , 135 : 429 – 446 .
- Choi , J. and Srivastava , H. M. 2005 . Certain families of series associated with the Hurwitz–Lerch zeta function . Appl. Math. Comput. , 170 : 399 – 409 .
- Choi , J. H. , Saigo , M. and Srivastava , H. M. 2002 . Some inclusion properties of a certain family of integral operators . J. Math. Anal. Appl. , 276 : 432 – 445 .
- Ferreira , C. and Lopez , J. L. 2004 . Asymptotic expansions of the Hurwitz–Lerch zeta function . J. Math. Anal. Appl. , 298 : 210 – 224 .
- Flett , T. M. 1972 . The dual of an inequality of Hardy and Littlewood and some related inequalities . J. Math. Anal. Appl. , 38 : 746 – 765 .
- Garg , M. , Jain , K. and Srivastava , H. M. 2006 . Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch zeta functions . Integral Transform. Spec. Funct. , 17 : 803 – 815 .
- Jung , I. B. , Kim , Y. C. and Srivastava , H. M. 1993 . The Hardy space of analytic functions associated with certain one-parameter families of integral operators . J. Math. Anal. Appl. , 176 : 138 – 147 .
- Libera , R. J. 1965 . Some classes of regular univalent functions . Proc. Amer. Math. Soc. , 16 : 755 – 758 .
- Libera , R. J. 1967 . Univalent α-spiral functions . Canad. J. Math. , 19 : 449 – 456 .
- Lin , S.-D. and Srivastava , H. M. 2004 . Some families of the Hurwitz–Lerch zeta functions and associated fractional derivative and other integral representations . Appl. Math. Comput. , 154 : 725 – 733 .
- Lin , S.-D. , Srivastava , H. M. and Wang , P.-Y. 2006 . Some expansion formulas for a class of generalized Hurwitz–Lerch zeta functions . Integral Transform. Spec. Funct. , 17 : 817 – 827 .
- Ling , Y. and Liu , F.-S. 2005 . The Choi–Saigo–Srivastava integral operator and a class of analytic functions . Appl. Math. Comput. , 165 : 613 – 621 .
- Livingston , A. E. 1966 . On the radius of univalence of certain analytic functions . Proc. Amer. Math. Soc. , 17 : 352 – 357 .
- Prajapat , J. K. and Goyal , S. P. 2009 . Applications of Srivastava–Attiya operator to the classes of strongly starlike and strongly convex functions . J. Math. Inequal. , 3 : 129 – 137 .
- Raducanu , D. and Srivastava , H. M. 2007 . A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch zeta function . Integral Transform. Spec. Funct. , 18 : 933 – 943 .
- Silverman , H. 1989 . Sufficient conditions for spiral-likeness . Inter. J. Math. Sci. , 12 ( 4 ) : 641 – 644 .
- Singh , S. 2000 . A subordination theorem for spirallike functions . Internat. J. Math. Math. Sci. , 24 ( 7 ) : 433 – 435 .
- Spacek , L. 1932 . Contribution à la theorie des fonctions univalents . Cas. Mat. Fys. , 62 ( 2 ) : 12 – 19 .
- Srivastava , H. M. and Attiya , A. A. 2007 . An integral operator associated with the Hurwitz–Lerch zeta function and differential subordination . Integral Transform. Spec. Funct. , 18 : 207 – 216 .
- Srivastava , H. M. and Choi , J. 2001 . Series Associated with the Zeta and Related Functions , Dordrecht, Boston, London : Kluwer Academic Publishers .
- Wilf , H. S. 1961 . Subordinating factor sequence for convex maps of the unit circle . Proc. Amer. Math. Soc. , 12 : 689 – 693 .