- Volume 34 Issue 3
Gottlieb polynomials were introduced and investigated in 1938, and then have been cited in several articles. Very recently Khan and Akhlaq introduced and investigated Gottlieb polynomials in two and three variables to give their generating functions. Subsequently, Khan and Asif investigated the generating functions for the
Pochhammer symbol;Generating functions;Generalized hypergeometric function
- J. Choi, Notes on formal manipulations of double series, Commun. Korean Math. Soc. 18 (2003), 781-789. https://doi.org/10.4134/CKMS.2003.18.4.781
- J. Choi, A generalization of Gottlieb polynomials in several variables, Appl. Math. Lett. 25 (2012), 43-46; DOI: 10.1016/j.aml.2011.07.006. https://doi.org/10.1016/j.aml.2011.07.006
- J. Choi, q-Extension of a generalization of Gottlieb polynomials in two variables, J. Chungcheong Math. Soc. 25 (2012), 253-265. https://doi.org/10.14403/jcms.2012.25.2.253
- G. Gasper and M. Rahman, Basic Hypergeometric Series (with a Foreword by Richard Askey), Encyclopedia of Mathematics and Its Applications, Vol. 35, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne and Sydney, 1990; Second edition, Encyclopedia of Mathematics and Its Applications, Vol. 96, Cambridge University Press, Cambridge, London and New York, 2004.
- M. J. Gottlieb, Concerning some polynomials orthogonal on a nite or enumerable set of points, Amer. J. Math. 60(2) (1938), 453-458. https://doi.org/10.2307/2371307
- M. A. Khan and M. Akhlaq, Some new generating functions for Gottlieb polynomials of several variables, Internat. Trans. Appl. Sci. 1(4) (2009), 567-570.
- M. A. Khan and M. Asif, A note on generating functions of q-Gottlieb polynomials, Commun. Korean Math. Soc. (2011), Accepted for publication. https://doi.org/10.4134/CKMS.2012.27.1.159
- G. Lauricella, Sulle funzioni ipergeometriche a piu variabili, Rend. Circ. Mat. Palermo 7 (1893), 111-158. https://doi.org/10.1007/BF03012437
- E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
- H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1985.
- H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1984.
- FORMULAS DEDUCIBLE FROM A GENERALIZATION OF GOTTLIEB POLYNOMIALS IN SEVERAL VARIABLES vol.34, pp.4, 2012, https://doi.org/10.5831/HMJ.2012.34.4.603