References
- M. A. Chaudhry, A. Qadir, M. Rafique, and S. M. Zubair, Extension of Euler's beta function, J. Comput. Appl. Math. 78 (1997), no. 1, 19-32. https://doi.org/10.1016/S0377-0427(96)00102-1
- M. A. Chaudhry, A. Qadir, H. M. Srivastava, and R. B. Paris, Extended hypergeometric and confluent hypergeometric functions, Appl. Math. Comput. 159 (2004), no. 2, 589-602. https://doi.org/10.1016/j.amc.2003.09.017
- M. A. Chaudhry and S. M. Zubair, On a Class of Incomplete Gamma Functions with Applications, Chapman & Hall/CRC, Boca Raton, FL, 2002.
- J. Choi, R. K. Parmar, and T. K. Pogany, Mathieu-type series built by (p, q)-extended Gaussian hypergeometric function, Bull. Korean Math. Soc. 54 (2017), no. 3, 789-797. https://doi.org/10.4134/BKMS.b160313
- J. Choi, A. K. Rathie, and R. K. Parmar, Extension of extended beta, hypergeometric and confluent hypergeometric functions, Honam Math. J. 36 (2014), no. 2, 357-385. https://doi.org/10.5831/HMJ.2014.36.2.357
- A. A. Kilbas and M. Saigo, H-Transforms, Analytical Methods and Special Functions, 9, Chapman & Hall/CRC, Boca Raton, FL, 2004.
- A. A. Kilbas and N. Sebastian, Generalized fractional differentiation of Bessel function of the first kind, Math. Balkanica (N.S.) 22 (2008), no. 3-4, 323-346.
- A. A. Kilbas and N. Sebastian, Generalized fractional integration of Bessel function of the first kind, Integral Transforms Spec. Funct. 19 (2008), no. 11-12, 869-883. https://doi.org/10.1080/10652460802295978
- A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204, Elsevier Science B.V., Amsterdam, 2006.
- V. Kiryakova, Generalized Fractional Calculus and Applications, Pitman Research Notes in Mathematics Series, 301, Longman Scientific & Technical, Harlow, 1994.
- M.-J. Luo, R. K. Parmar, and R. K. Raina, On extended Hurwitz-Lerch zeta function, J. Math. Anal. Appl. 448 (2017), no. 2, 1281-1304. https://doi.org/10.1016/j.jmaa.2016.11.046
- D. J. Masirevic, R. K. Parmar, and T. K. Pogany, (p, q)-extended Bessel and modified Bessel functions of the first kind, Results Math. 72 (2017), no. 1-2, 617-632. https://doi.org/10.1007/s00025-016-0649-1
- A. M. Mathai and R. K. Saxena, Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Lecture Notes in Mathematics, Vol. 348, Springer-Verlag, Berlin, 1973.
- A. M. Mathai and R. K. Saxena, The H-Function with Applications in Statistics and Other Disciplines, Halsted Press, New York, 1978.
- A. M. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function, Springer, New York, 2010.
- K. S. Nisar, S. R. Mondal, and J. Choi, Certain inequalities involving the k-Struve function, J. Inequal. Appl. 2017 (2017), Paper No. 71, 8 pp. https://doi.org/10.1186/s13660-016-1282-y
- F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark (eds.), NIST Handbook of Mathematical Functions, Cambridge University Press, Cambridge, 2010.
- R. B. Paris and D. Kaminski, Asymptotics and Mellin-Barnes Integrals, Encyclopedia of Mathematics and its Applications, 85, Cambridge University Press, Cambridge, 2001.
-
R. K. Parmar and T. K. Pogany, Extended Srivastava's triple hypergeometric
$H_{A,p,q}$ function and related bounding inequalities, J. Contemp. Math. Anal. (2017) (to appear). - M. Saigo, A remark on integral operators involving the Gauss hypergeometric functions, Math. Rep. Kyushu Univ. 11 (1977/78), no. 2, 135-143.
- S. G. Samko, A. A. Kilbas, and O. I. Marichev, [Integrals and derivatives of fractional order and some of their applications] (Russian), "Nauka i Tekhnika", Minsk, 1987.
- L. J. Slater, Confluent Hypergeometric Functions, Cambridge University Press, New York, 1960.
- H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier, Inc., Amsterdam, 2012.
- H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Ellis Horwood Series: Mathematics and its Applications, Ellis Horwood Ltd., Chichester, 1985.
- H. M. Srivastava and R. K. Saxena, Operators of fractional integration and their applications, Appl. Math. Comput. 118 (2001), no. 1, 1-52. https://doi.org/10.1016/S0096-3003(99)00208-8
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England, 1944.