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Srivastava, H. M.

Some orthogonal polynomials representing the energy spectral functions for a family of isotropic turbulence fields. (English) Zbl 0509.33008

Z. Angew. Math. Mech. 64, 255-257 (1984).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 11 Documents

MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33C05 Classical hypergeometric functions, \({}_2F_1\)

Keywords:

Laguerre polynomials; Srivastava-Singhal polynomials; Bessel polynomials

Citations:

Zbl 0333.76023; Zbl 0197.341; Zbl 0392.76043
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Full Text: DOI

References:

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[2] Carlitz, Duke Math. J. 35 pp 825– (1968)
[3] Carlitz, SIAM J. Math. Anal. 8 pp 518– (1977)
[4] ; ; : On the zeros of generalized Bessel polynomials, Nederl. Akad. Wetensch., Proc., Ser. A 84 = Indag. Math. 43 (1981) 1–25.
[5] ; ; ; : Tables of Integral Transforms. Vol. II, McGraw-Hill, New York, London and Toronto 1954.
[6] : Bessel Polynomials, Springer-Verlag, Berlin, Heidelberg and New York 1978. · Zbl 0416.33008 · doi:10.1007/BFb0063135
[7] Krall, Trans. Amer. Math. Soc. 65 pp 100– (1949)
[8] : Special Functions, Macmillan, New York 1960.
[9] Schultz-Piszachich, ZAMM 56 pp 303– (1976)
[10] ; : A certain method of obtaining bilateral generating functions, Nederl. Akad. Wetensch., Proc., Ser. A 78 = Indag. Math. 37 (1975) 304–320.
[11] Srivastava, Ann. Mat, Pura Appl. IV. ser. 90 pp 75– (1971)
[12] : Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., Vol. 23, Fourth edition, Amer. Math. Soc., Providence, Rhode Island 1975.
[13] Werner, ZAMM 58 pp 166– (1978)
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