Refinements of Some Recent Inequalities for Certain Special Functions

[1] M. Abramowitz and C.A. Stegun (eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing, Dover Publications, New York, 1972.Search in Google Scholar

[2] M. Akkouchi and M.A. Ighachane, Equivalence of Hölder’s and Cauchy-Schwartz in-equalities and application to extended gamma and beta functions. Submitted.Search in Google Scholar

[3] P.K. Bhandari and S.K. Bissu, Inequalities via Hölder’s inequality, Scholars J. Res. Math. Comput. Sci. 2 (2018), no. 2, 124–129.Search in Google Scholar

[4] M.A. Chaudhry and S.M. Zubair, On a Class of Incomplete Gamma Functions with Applications, Chapman & Hall/CRC, Boca Raton, 2002.10.1201/9781420036046Search in Google Scholar

[5] A. Erdélyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, Higher Transcendental Functions. Vol. I, Bateman Manuscript Project, McGraw-Hill Book Company, Inc., New York, 1953.Search in Google Scholar

[6] G.J.O. Jameson, The incomplete gamma functions, Math. Gaz. 100 (2016), no. 548, 298–306.10.1017/mag.2016.67Search in Google Scholar

[7] B. Jørgensen, Statistical Properties of the Generalized Inverse Gaussian Distribution, Lecture Notes in Statistics, 9, Springer-Verlag, New York, 1982.10.1007/978-1-4612-5698-4Open DOISearch in Google Scholar

[8] C. Mortici, Turán-type inequalities for the gamma and polygamma functions, Acta Univ. Apulensis Math. Inform. 23 (2010), 117–121.Search in Google Scholar

[9] A.F. Nikiforov and V.B. Uvarov, Special Functions of Mathematical Physics, Birkhäuser Verlag, Basel, 1988.10.1007/978-1-4757-1595-8Search in Google Scholar