On some generalized Sister Celine’s polynomials
Mumtaz Ahmad Khan; Ajay Kumar Shukla
Czechoslovak Mathematical Journal (1999)
- Volume: 49, Issue: 3, page 527-545
- ISSN: 0011-4642
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topKhan, Mumtaz Ahmad, and Shukla, Ajay Kumar. "On some generalized Sister Celine’s polynomials." Czechoslovak Mathematical Journal 49.3 (1999): 527-545. <http://eudml.org/doc/30504>.
@article{Khan1999,
abstract = {Certain generalizations of Sister Celine’s polynomials are given which include most of the known polynomials as their special cases. Besides, generating functions and integral representations of these generalized polynomials are derived and a relation between generalized Laguerre polynomials and generalized Bateman’s polynomials is established.},
author = {Khan, Mumtaz Ahmad, Shukla, Ajay Kumar},
journal = {Czechoslovak Mathematical Journal},
keywords = {Ultraspherical type generalization of Bateman’s polynomials; ultraspherical type generalization of Pasternak’s polynomials; Jacobi type generalization of Bateman’s polynomials; Jacobi type generalization of Pasternak’s polynomials. Sister Celine’s polynomial; Hahn polynomial; Generalized Hermite polynomial; Krawtchouk’s polynomial; Meixner’s polynomial; Charlier polynomial; Sylvester’s polynomial; Gottlieb’s polynomial; Konhauser’s polynomial; generating functions; integral relations; special functions; ultraspherical polynomials; generating functions; integral relations},
language = {eng},
number = {3},
pages = {527-545},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some generalized Sister Celine’s polynomials},
url = {http://eudml.org/doc/30504},
volume = {49},
year = {1999},
}
TY - JOUR
AU - Khan, Mumtaz Ahmad
AU - Shukla, Ajay Kumar
TI - On some generalized Sister Celine’s polynomials
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 527
EP - 545
AB - Certain generalizations of Sister Celine’s polynomials are given which include most of the known polynomials as their special cases. Besides, generating functions and integral representations of these generalized polynomials are derived and a relation between generalized Laguerre polynomials and generalized Bateman’s polynomials is established.
LA - eng
KW - Ultraspherical type generalization of Bateman’s polynomials; ultraspherical type generalization of Pasternak’s polynomials; Jacobi type generalization of Bateman’s polynomials; Jacobi type generalization of Pasternak’s polynomials. Sister Celine’s polynomial; Hahn polynomial; Generalized Hermite polynomial; Krawtchouk’s polynomial; Meixner’s polynomial; Charlier polynomial; Sylvester’s polynomial; Gottlieb’s polynomial; Konhauser’s polynomial; generating functions; integral relations; special functions; ultraspherical polynomials; generating functions; integral relations
UR - http://eudml.org/doc/30504
ER -
References
top- An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, London and Paris, 1978. (1978) Zbl0389.33008MR0481884
- 10.1090/S0002-9904-1947-08893-5, Bull. Amer. Math. Soc. 53 (1947), 806–812. (1947) MR0022276DOI10.1090/S0002-9904-1947-08893-5
- On a generalization of Rice’s polynomial, I. Proc. Nat. Acad. Sci. India, Sect. A34 (1964), 157–162. (1964) Zbl0166.32002MR0219773
- 10.1016/0022-247X(65)90085-5, J. Math. Anal. Appl. 11 (1965), 242–260. (1965) Zbl0125.31501MR0185167DOI10.1016/0022-247X(65)90085-5
- 10.2140/pjm.1967.21.303, Pacific J. Math. 21 (1967), 303–314. (1967) MR0214825DOI10.2140/pjm.1967.21.303
- Special Functions, Macmillan, New York; Reprinted by Chelse Publ. Co., Bronx, New York, 1971. (1971) Zbl0231.33001MR0393590
- A Treatise on Generating Functions, John Wiley and Sons (Halsted Press), New York; Ellis Horwood, Limited Chichester, 1984. (1984) MR0750112
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