@article{AMBP_1996__3_2_189_0,
author = {R.K. Raina and R.K. Ladda},
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},
volume = {3},
number = {2},
year = {1996},
zbl = {0869.33006},
mrnumber = {1435324},
language = {en},
url = {https://ambp.centre-mersenne.org/item/AMBP_1996__3_2_189_0/}
}
TY - JOUR AU - R.K. Raina AU - R.K. Ladda TI - A new family of functional series relations involving digamma functions JO - Annales mathématiques Blaise Pascal PY - 1996 SP - 189 EP - 198 VL - 3 IS - 2 PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal UR - https://ambp.centre-mersenne.org/item/AMBP_1996__3_2_189_0/ LA - en ID - AMBP_1996__3_2_189_0 ER -
%0 Journal Article %A R.K. Raina %A R.K. Ladda %T A new family of functional series relations involving digamma functions %J Annales mathématiques Blaise Pascal %D 1996 %P 189-198 %V 3 %N 2 %I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal %U https://ambp.centre-mersenne.org/item/AMBP_1996__3_2_189_0/ %G en %F AMBP_1996__3_2_189_0
R.K. Raina; R.K. Ladda. A new family of functional series relations involving digamma functions. Annales mathématiques Blaise Pascal, Tome 3 (1996) no. 2, pp. 189-198. https://ambp.centre-mersenne.org/item/AMBP_1996__3_2_189_0/
[1 ] , and , A certain family of infinite series associated with digamma functions, J. Math. Anal. Appl. 159 (1991), 361-372. | MR | Zbl
[2 ] , Asymptotic expansions and analytical countinuations for a class of Barnes - integral, Compositio Math. 15 (1964) , 239-341. | Numdam | MR | Zbl
[3 ] , The G and H functions as symmetrical Fourier Kernels, Trans. Amer. Math. Soc. 98 (1961), 395-429. | MR | Zbl
[4 ] , Functional relations by means of Riemann - Liouville operator, Serdica 13 (1987), 170-173. | MR | Zbl
[5 ] and , A functional relation involving Ψ-function, Rev. Tech. Fac. Ingr. Univ. Zulia 8 (1985), 31-35. | MR | Zbl
[6 ] and , Summation of certain infinite series with digamma functions, C.R. Acad. Bulgare Sci. 41 (11) (1988), 15-17. | MR | Zbl
[7 ] and , The development of functional relations by means of fractional calculus, in Fractional Calculus, Pitman Ad. Publishing Program Boston (1985), 32-43. | MR | Zbl
[8 ] and , 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 ] and , Certain class of infinite series summable by means of fractional calculus, J. College Engrg. Nihon Univ. 30 (1989), 97-106. | MR | Zbl
[9 a ] , Leçons sur les séries d'interpolation, Paris, Gauthier-Villars, 1926. | JFM
[10 ] , A series relation by means of certain fractional calculus operators, Indian J. Pure Appld. Math. 21(2) (1990), 172-175. | MR | Zbl
[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
[12 ] , Methods of Summation, Descrates Press, Koriyama (1987). | MR | Zbl
[13 ] and , 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 ] and , Multiple Gaussian Hypergeometric Series, Ellis Horwood Publication (1985). | MR | Zbl
[15 ] , and , The H functions of One and Two Variables with Applications, South Asian Publishers, New Delhi and Madras (1982). | MR | Zbl