# Orthoexponential polynomials and the Legendre polynomials

Aplikace matematiky (1978)

- Volume: 23, Issue: 6, page 467-471
- ISSN: 0862-7940

## Access Full Article

top## Abstract

top## How to cite

topJaroch, Otakar. "Orthoexponential polynomials and the Legendre polynomials." Aplikace matematiky 23.6 (1978): 467-471. <http://eudml.org/doc/15074>.

@article{Jaroch1978,

abstract = {Orthoexponential polynomials can be expressed in terms of the Legendre polynomials. The formulae proved in this paper are useful for the computation of the values of orthoexponential polynomials. It is also possible to re-state, for orthoexponential polynomials, some theorems from the theory of classical orthogonal polynomials.},

author = {Jaroch, Otakar},

journal = {Aplikace matematiky},

keywords = {orthoexponential polynomials; Legendre polynomials; classical orthogonal polynomials; orthoexponential polynomials; Legendre polynomials; classical orthogonal polynomials},

language = {eng},

number = {6},

pages = {467-471},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Orthoexponential polynomials and the Legendre polynomials},

url = {http://eudml.org/doc/15074},

volume = {23},

year = {1978},

}

TY - JOUR

AU - Jaroch, Otakar

TI - Orthoexponential polynomials and the Legendre polynomials

JO - Aplikace matematiky

PY - 1978

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 23

IS - 6

SP - 467

EP - 471

AB - Orthoexponential polynomials can be expressed in terms of the Legendre polynomials. The formulae proved in this paper are useful for the computation of the values of orthoexponential polynomials. It is also possible to re-state, for orthoexponential polynomials, some theorems from the theory of classical orthogonal polynomials.

LA - eng

KW - orthoexponential polynomials; Legendre polynomials; classical orthogonal polynomials; orthoexponential polynomials; Legendre polynomials; classical orthogonal polynomials

UR - http://eudml.org/doc/15074

ER -

## References

top- H. Bateman A. Erdélyi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York 1953. (1953) MR0058756
- V. Čížek, Methods of Time Domain Synthesis, Research Report Z-44, Czechoslovak Academy of Sciences, Institute of Radioelectronics, Praha, 1960 (in Czech). (1960)
- R. Courant D. Hilbert, Methoden der mathematischen Physik, Vol. 1, Berlin, 1931 (Russian translation: GITTL, 1951). (1931)
- A. A. Dmitriyev, Orthogonal Exponential Functions in Hydrometeorology, Gidrometeoizdat, Leningrad, 1973 (in Russian). (1973)
- O. Jaroch, A Method of Numerical Inversion of Laplace Transforms, Práce ČVUT, Series VI, No. 1, Part I, pp. 332-339. Czech Technical University, Prague 1961 (in Czech). (1961)
- O. Jaroch, Approximation by Exponential Functions, Aplikace matematiky, Vol. 7, No. 4, pp. 249-264, 1962 (in Czech). (1962) Zbl0112.08003MR0158211
- O. Jaroch J. Novotný, Recurrence Relations for Orthogonal Exponential Polynomials and their Derivatives, Acta Polytechnica- Práce ČVUT, Vol. IV (1973), pp. 39-42 (in Czech). (1973)
- J. H. Laning R. H. Battin, Random Processes in Automatic Control, McGraw-Hill, New York, 1956. (1956) MR0079362
- G. Szegö, Orthogonal Polynomials, American Mathematical Society, New York, 1959. (1959) MR0106295
- D. F. Tuttle, Network Synthesis for Prescribed Transient Response, Massachusetts Institute of Technology, 1949, DSc. Thesis. (1949)

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.