Sull'e q u a zio n e funzionale t ⁢ ( x + k ⁢ z , y , z ) = f ⁢ ( x , y , z ) ⁢ t ⁢ ( x , y , z )

Santi Valenti

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1973)

  • Volume: 54, Issue: 6, page 872-876
  • ISSN: 0392-7881

Abstract

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A wide class of partial functional equations (all generalizing in a quite natural way the classical recurrence relation for the Γ -function), is considered in § 1, in order to give an existence and unicity theorem for the solution of each of them, provided this solution be a partially lg-convex one. Further, in § 2 is sketched a straightforward method of resolution for an interesting subclass of such a class of equations, only involving simple techniques of finite differences calculus.

How to cite

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Valenti, Santi. "Sull'e q u a zio n e funzionale $t(x+kz,y,z) = f(x,y,z) t(x,y,z)$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 54.6 (1973): 872-876. <http://eudml.org/doc/293853>.

@article{Valenti1973,
author = {Valenti, Santi},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
number = {6},
pages = {872-876},
publisher = {Accademia Nazionale dei Lincei},
title = {Sull'e q u a zio n e funzionale $t(x+kz,y,z) = f(x,y,z) t(x,y,z)$},
url = {http://eudml.org/doc/293853},
volume = {54},
year = {1973},
}

TY - JOUR
AU - Valenti, Santi
TI - Sull'e q u a zio n e funzionale $t(x+kz,y,z) = f(x,y,z) t(x,y,z)$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
PY - 1973
PB - Accademia Nazionale dei Lincei
VL - 54
IS - 6
SP - 872
EP - 876
LA - ita
UR - http://eudml.org/doc/293853
ER -

References

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  1. BOHR, H. e MOLLERUP, J., Laerebog i matematisk Analyse, III, 149 (Kopenhagen1922). 
  2. ARTIN, E., Einführung in die Theorie der Gammafunktion, (Leipzig1931). Zbl57.0419.05
  3. WHITTAKER, E. T. e WATSON, G. N., A Course of Modern Analysis, 40 (Cambridge1927). Zbl45.0433.02MR1424469DOI10.1017/CBO9780511608759
  4. VALENTI, S., A general «dynamical» Model for a Class of statistical Distributions (I), «Acta Phys. Pol.», A 39 (1), 3 (1971). 
  5. VALENTI, S., A general «dynamical» Model for a Class of statistical Distributions (II), «Acta Phys. Pol.», A 41 (4), 447 (1972). 
  6. LIENHARD, J. H. e MEYER, P. L., A physical Basis for the generalized Gamma Distribution, «Quart. Appl. Math.», 25 (3), 330 (1967). Zbl0154.19402

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