Harmonic summation of Jacobi series

D. P. Gupta; R. S. Choudhary

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 2, page 116-126
  • ISSN: 0392-7881

How to cite

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Gupta, D. P., and Choudhary, R. S.. "Harmonic summation of Jacobi series." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.2 (1975): 116-126. <http://eudml.org/doc/291360>.

@article{Gupta1975,
author = {Gupta, D. P., Choudhary, R. S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {116-126},
publisher = {Accademia Nazionale dei Lincei},
title = {Harmonic summation of Jacobi series},
url = {http://eudml.org/doc/291360},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Gupta, D. P.
AU - Choudhary, R. S.
TI - Harmonic summation of Jacobi series
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/2//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 2
SP - 116
EP - 126
LA - eng
UR - http://eudml.org/doc/291360
ER -

References

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  1. CHOUDHARY, R. S. (1972) - On Nörlund summability of Jacobi series, «Rendi. Acc. Naz. Lincei», ser. VIII, 52 (5), 644-652. Zbl0274.42007MR333565
  2. HARDY, G. H. and ROGOSINSKI, W. W. (1947) - Notes on the Fourier series (IV) summability (R,2), «Proc. Camb. Phil. Soc.», 43, 10-25. Zbl0029.02505MR19147DOI10.1017/s0305004100023161
  3. KOGBETLIANTZ, E. (1931) - Sur la summabilité ( C , δ ) par les moyennes arithmétiques du développement en série des polynômes de Jacobi aux frontières de l'intervalle (-1,1), Extrait du soixante-quatrième Congrès des sociétés savantes, 118-138. 
  4. OBRECHKOFF, N. (1936) - Formules asymptotiques pour les polynômes de Jacobi et sur les séries suivant les mêmes polynômes, «Annuaire de l'Université de Sofia, Faculté Physico-Mathématiques», 1, 39-113. Zbl0015.34701
  5. SZEGÖ, G. (1959) - Orthoganal polynomials. (Revised Edition), «Amer. Math. Soc. Colloquium publications», 23. MR106295
  6. TITCHMARSH, E. C. (1939) - The theory of functions. (Second-Edition). Oxford University Press. MR3728294

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