A new family of functional series relations involving digamma functions
Annales mathématiques Blaise Pascal, Tome 3 (1996) no. 2, pp. 189-198.
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     title = {A new family of functional series relations involving digamma functions},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {189--198},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
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     zbl = {0869.33006},
     language = {en},
     url = {http://archive.numdam.org/item/AMBP_1996__3_2_189_0/}
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Raina, R.K.; Ladda, R.K. A new family of functional series relations involving digamma functions. Annales mathématiques Blaise Pascal, Tome 3 (1996) no. 2, pp. 189-198. http://archive.numdam.org/item/AMBP_1996__3_2_189_0/

[1 ] B.N. Al-Saqabi, S.L. Kalla and H.M. Srivastava, A certain family of infinite series associated with digamma functions, J. Math. Anal. Appl. 159 (1991), 361-372. | MR | Zbl

[2 ] B.L.J. Braaksma, Asymptotic expansions and analytical countinuations for a class of Barnes - integral, Compositio Math. 15 (1964) , 239-341. | Numdam | MR | Zbl

[3 ] C. Fox, The G and H functions as symmetrical Fourier Kernels, Trans. Amer. Math. Soc. 98 (1961), 395-429. | MR | Zbl

[4 ] S.L. Kalla, Functional relations by means of Riemann - Liouville operator, Serdica 13 (1987), 170-173. | MR | Zbl

[5 ] S.L. Kalla and B. Al-Saqabi, A functional relation involving Ψ-function, Rev. Tech. Fac. Ingr. Univ. Zulia 8 (1985), 31-35. | MR | Zbl

[6 ] S.L. Kalla and B. Al-Saqabi, Summation of certain infinite series with digamma functions, C.R. Acad. Bulgare Sci. 41 (11) (1988), 15-17. | MR | Zbl

[7 ] S.L. Kalla and B. Ross, The development of functional relations by means of fractional calculus, in Fractional Calculus, Pitman Ad. Publishing Program Boston (1985), 32-43. | MR | Zbl

[8 ] K. Nishimoto and R.K. Saxena, An application of Riemann - Liouville operator in the unification of certain functional relations, J. College Engrg. Nihhon Univ. 32 (1991), 133-139. | MR | Zbl

[9 ] K. Nishimoto and H.M. Srivastava, Certain class of infinite series summable by means of fractional calculus, J. College Engrg. Nihon Univ. 30 (1989), 97-106. | MR | Zbl

[9 a ] N.-E. Nörlund, Leçons sur les séries d'interpolation, Paris, Gauthier-Villars, 1926. | JFM

[10 ] R.K. Raina, A series relation by means of certain fractional calculus operators, Indian J. Pure Appld. Math. 21(2) (1990), 172-175. | MR | Zbl

[11 ] B. Ross, Serendipidity in maths or how one is led to discover that ∑ ∞ n=1 ((1.3.5...(2n-1))/(n.2n.n!)) = ((1/2) + (3/16) + (15/144) + ...) = ln4, Amer. Math. Monthly 90 (1983) 562-566. | Zbl

[12 ] B. Ross, Methods of Summation, Descrates Press, Koriyama (1987). | MR | Zbl

[13 ] H.M. Srivastava and K. Nishimoto, An elementary proof of a generalization of a certain functional relations derived by means of fractional calculus, J. Fractional calculus 1 (1992), 69-74. | MR | Zbl

[14 ] H.M. Srivastava and P.W. Karlsson, Multiple Gaussian Hypergeometric Series, Ellis Horwood Publication (1985). | MR | Zbl

[15 ] H.M. Srivastava , K.C. Gupta and S.P. Goyal, The H functions of One and Two Variables with Applications, South Asian Publishers, New Delhi and Madras (1982). | MR | Zbl