On some operational representations of -polynomials
Czechoslovak Mathematical Journal (1995)
- Volume: 45, Issue: 3, page 457-464
- ISSN: 0011-4642
Access Full Article
topHow to cite
topKhan, Mumtaz Ahmad. "On some operational representations of $q$-polynomials." Czechoslovak Mathematical Journal 45.3 (1995): 457-464. <http://eudml.org/doc/31485>.
@article{Khan1995,
author = {Khan, Mumtaz Ahmad},
journal = {Czechoslovak Mathematical Journal},
keywords = {-polynomials; -Laguerre polynomials; -Bessel polynomials; - Jacobi polynomials; Rice polynomials},
language = {eng},
number = {3},
pages = {457-464},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some operational representations of $q$-polynomials},
url = {http://eudml.org/doc/31485},
volume = {45},
year = {1995},
}
TY - JOUR
AU - Khan, Mumtaz Ahmad
TI - On some operational representations of $q$-polynomials
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 3
SP - 457
EP - 464
LA - eng
KW - -polynomials; -Laguerre polynomials; -Bessel polynomials; - Jacobi polynomials; Rice polynomials
UR - http://eudml.org/doc/31485
ER -
References
top- 10.1002/mana.19650300308, Math. Nachr. 30 (1965), 209–219. (1965) MR0190382DOI10.1002/mana.19650300308
- 10.1017/S0305004100041724, Proc. Camb. Philos. Soc. 63 (1967), 727–734. (1967) MR0212216DOI10.1017/S0305004100041724
- Some operational formulas for the -Laguerre polynomials, Fibonacci Quaterly 22 (1984), 166–170. (1984) Zbl0537.33006MR0742847
- On some -operators with applications, Proc. Konen. Nederl. Akademicvan Wetenschappen, Ser. A 92 (1989), 1–13. (1989) Zbl0696.47046MR0993673
- Operational representation for the Laguerre and Hermite polynomials, Duke Math. Journal 31 (1964), 127–142. (1964) MR0159053
- Orthogonality Preserving Operators, I. Atti Della Academia Nazionale Dei Lincei, ser VIII Vol. 2 VIII (1975), 833–838. (1975) MR0440090
- 10.1002/mana.19650300105, Math. Nachr. 30 (1965), 47–61. (1965) MR0197804DOI10.1002/mana.19650300105
- -Hypergeometric Functions and Applications, John Wiley and Sons (Halsted Press), New York — Ellis Horwood, Chichester, 1983. (1983) Zbl0514.33001MR0708496
- Beiträge zur Theorie der Heinschen Reihen, Die 24 Integrale der hypergeometrischen -Differenzengleichung, Das -Analogen der Laplace Transformation, Math. Nachr.. MR0035344
- -Differenzengleichung, Das -Analogen der Laplace Transformation, Math. Nachr. 2 (1949). (1949) MR0035344
- 10.1016/0022-247X(82)90248-7, J. Math. Anal. Appl. 86 (1982), no. 1, 1–19. (1982) MR0649849DOI10.1016/0022-247X(82)90248-7
- 10.1093/qmath/os-15.1.49, Quart. J. Math. (Oxford) 15 (1944), 49–61. (1944) Zbl0060.19810MR0011348DOI10.1093/qmath/os-15.1.49
- Certain fractional -integrals and -derivatives, Nanta Mathematica 7 (1974), no. 1, 52–60. (1974) Zbl0289.33009MR0369630
- On -Laguerre polynomials, Ganita 34 (1983), no. 1 and 2, 111–123. (1983) Zbl0638.33006MR0910619
- -Analogue of certain operational formulae, Houston J. Math. 13 (1987), no. 1, 75–82. (1987) MR0884235
- On a calculus for the -operator, Mathematica Balkanica, New Series 6 (1992), no. 1, 83–90. (1992) MR1170732
- Fractional -integration and integral representations of ‘Bibasic’ double hypergeometric series of higher order, Acta Mathematica Vietnamica 11 (1986), no. 2, 234–240. (1986) MR0882584
- On some characterizations of -Bessel polynomials, Acta Math. Viet. 15 (1990), no. 1, 55–59. (1990) MR1087787
- Operational representation for the generalized Laguerre polynomials, Glasnik Mathematički 6(26) (1977), no. 1, 45–53. (1977) MR0299847
- Special Functions, The MacMillan Co., New York, 1960. (1960) Zbl0092.06503MR0107725
- Generalized Hypergeometric Functions, Cambridge University Press, 1966. (1966) Zbl0135.28101MR0201688
- A Treatise on Generating Functions, John Wiley and Sons (Halsted Press), New York; Ellis Horwood, Chichester, 1984. (1984) MR0750112
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.