@article{AMBP_1996__3_2_189_0, author = {Raina, R.K. and Ladda, R.K.}, title = {A new family of functional series relations involving digamma functions}, journal = {Annales math\'ematiques Blaise Pascal}, volume = {S3}, year = {1996}, pages = {189-198}, mrnumber = {1435324}, zbl = {0869.33006}, language = {en}, url = {http://dml.mathdoc.fr/item/AMBP_1996__3_2_189_0} }
Raina, R.K.; Ladda, R.K. A new family of functional series relations involving digamma functions. Annales mathématiques Blaise Pascal, Tome S3 (1996) pp. 189-198. http://gdmltest.u-ga.fr/item/AMBP_1996__3_2_189_0/
[1 ] A certain family of infinite series associated with digamma functions, J. Math. Anal. Appl. 159 (1991), 361-372. | MR 1120938 | Zbl 0726.33002
, and ,[2 ] Asymptotic expansions and analytical countinuations for a class of Barnes - integral, Compositio Math. 15 (1964) , 239-341. | Numdam | MR 167651 | Zbl 0129.28604
,[3 ] The G and H functions as symmetrical Fourier Kernels, Trans. Amer. Math. Soc. 98 (1961), 395-429. | MR 131578 | Zbl 0096.30804
,[4 ] Functional relations by means of Riemann - Liouville operator, Serdica 13 (1987), 170-173. | MR 903439 | Zbl 0634.33007
,[5 ] A functional relation involving Ψ-function, Rev. Tech. Fac. Ingr. Univ. Zulia 8 (1985), 31-35. | MR 824949 | Zbl 0589.39009
and ,[6 ] Summation of certain infinite series with digamma functions, C.R. Acad. Bulgare Sci. 41 (11) (1988), 15-17. | MR 985873 | Zbl 0662.33001
and ,[7 ] The development of functional relations by means of fractional calculus, in Fractional Calculus, Pitman Ad. Publishing Program Boston (1985), 32-43. | MR 860085 | Zbl 0616.26005
and ,[8 ] An application of Riemann - Liouville operator in the unification of certain functional relations, J. College Engrg. Nihhon Univ. 32 (1991), 133-139. | MR 1213814 | Zbl 0896.33008
and ,[9 ] Certain class of infinite series summable by means of fractional calculus, J. College Engrg. Nihon Univ. 30 (1989), 97-106. | MR 985182 | Zbl 0651.33002
and ,[9 a ] Leçons sur les séries d'interpolation, Paris, Gauthier-Villars, 1926. | JFM 52.0301.04
,[10 ] A series relation by means of certain fractional calculus operators, Indian J. Pure Appld. Math. 21(2) (1990), 172-175. | MR 1041940 | Zbl 0693.33003
,[11 ] 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 0539.26005
,[12 ] Methods of Summation, Descrates Press, Koriyama (1987). | MR 1012739 | Zbl 0726.40001
,[13 ] 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 1165437 | Zbl 0849.33009
and ,[14 ] Multiple Gaussian Hypergeometric Series, Ellis Horwood Publication (1985). | MR 834385 | Zbl 0552.33001
and ,[15 ] The H functions of One and Two Variables with Applications, South Asian Publishers, New Delhi and Madras (1982). | MR 691138 | Zbl 0506.33007
, and ,