Integral representation of orthogonal exponential polynomials

Otakar Jaroch

Časopis pro pěstování matematiky (1980)

  • Volume: 105, Issue: 3, page 261-265
  • ISSN: 0528-2195

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Jaroch, Otakar. "Integral representation of orthogonal exponential polynomials." Časopis pro pěstování matematiky 105.3 (1980): 261-265. <http://eudml.org/doc/21434>.

@article{Jaroch1980,
author = {Jaroch, Otakar},
journal = {Časopis pro pěstování matematiky},
keywords = {orthogonal exponential polynomials; Jacobi polynomials; Legendre polynomials; Schläfli’s integral},
language = {eng},
number = {3},
pages = {261-265},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Integral representation of orthogonal exponential polynomials},
url = {http://eudml.org/doc/21434},
volume = {105},
year = {1980},
}

TY - JOUR
AU - Jaroch, Otakar
TI - Integral representation of orthogonal exponential polynomials
JO - Časopis pro pěstování matematiky
PY - 1980
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 105
IS - 3
SP - 261
EP - 265
LA - eng
KW - orthogonal exponential polynomials; Jacobi polynomials; Legendre polynomials; Schläfli’s integral
UR - http://eudml.org/doc/21434
ER -

References

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  1. H. Bateman A. Erdélyi, Higher Transcendental Functions, Vol. 2, McGraw-Hill 1953. (1953) Zbl0143.29202MR0058756
  2. I. Černý, Fundamentals of Complex Analysis, Academia, Praha, 1967 (in Czech). (1967) 
  3. R. Courant D. Hilbert, Methoden der mathematischen Physik, Vol. 1, Berlin, 1931 (Russian translation: GITTL, 1951). (1931) Zbl0001.00501
  4. A. A. Dmitriyev, Orthogonal Exponential Functions in Hydrometeorology, Gidrometeoizdat, Leningrad, 1973 (in Russian). (1973) 
  5. O. Jaroch, Approximation by Exponential Functions, Aplikace matematiky, Vol. 7, No. 4, pp. 249-264, 1962 (in Czech). (1962) Zbl0112.08003MR0158211
  6. O. Jaroch, Recurrence Relations for the Integrals of Orthogonal Exponential Polynomials, Acta Polytechnica - Práce ČVUT, Vol. IV, No. 1, pp. 45-47, 1975 (in Czech). (1975) 
  7. W. H. Kautz, A procedure for the synthesis of networks for specified transient response, ScD Thesis. Massachusetts Institute of Technology, 1951. (1951) 
  8. J. H. Laning R. H. Battin, Random Processes in Automatic Control, McGraw-Hill, 1956. (1956) MR0079362
  9. M. A. Lavrentyev B. V. Shabat, Methods of the Theory of Functions of a complex variable, GIFML, Moscow, 1958 (in Russian). (1958) 
  10. D. F. Tuttle, Network synthesis for prescribed transient response, DSc. Thesis. Massachusetts Institute of Technology, 1948. (1948) 
  11. E. T. Whittaker G. N. Watson, A Course of Modern Analysis, Vol. II, Cambridge University Press, 1927. (1927) MR1424469

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