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On the refined measures of growth of generalized biaxially symmetric potentials having index - q

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Języki publikacji
EN
Abstrakty
EN
To obtain more refined measure of growth the q-pro- ximate type is constructed for a class of generalized biaxially symmetric potentials (GBASP’s). Finally, we obtain lower q-proximate type for GBASP’s. Our results generalize some results of Kumar [7].
Rocznik
Tom
Strony
61--72
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
  • Department of Mathematics Research and Postgraduate Studies M.M.H. College Ghaziabad-201 001, U.P., India
autor
  • Department of Mathematics Research and Postgraduate Studies M.M.H. College Ghaziabad-201 001, U.P., India
Bibliografia
  • [1] Askey R., Orthogonal Polynomials and Special Functions, Regional Confer¬ence Series in Applied Mathematics, SIAM, Philadelphia, 1975.
  • [2] Gilbert R.P., Function Theoretic Methods in Partial Differential Equations, Math. in Science and Engineering, Vol.54, Academic Press, New York, 1969.
  • [3] Gilbert R.P., Constructive Methods for Elliptic Equations, Lecture Notes in Mathematics, No. 365, Springer Verlag, New York, 1974.
  • [4] Gopal K., Kapoor G.P., Coefficient characterizations for functions analytic in the unit disc having fast rates of growth, Bull. Math. Soc. Sci. Math. R. S. Roummanie, 25(73)(4)(1981), 367-380.
  • [5] Kapoor G.P., Gopal K., On the coefficients of functions analytic in the unit disc having fast rates of growth, Annali di Matematica Pura ed Applicata IV, CXXI, (1979), 337-349.
  • [6] Kapoor G.P., Nautiyal A., Growth and approximation of generalized bi-axially symmetric potentials, Indian J. Pure Appl. Math., 19(5)(1988), 464-476.
  • [7] Kumar D., Proximate type in reference to generalized biaxially symmetric potentials, Fasc. Math., 32(2001), 73-82.
  • [8] McCoy P.A., Approximation of pseudoanalytic functions on the disc, Complex Variables, 6(1986), 123-133.
  • [9] McCoy P.A., Polynomial approximation of generalized biaxisymmetric potentials, J. Approx. Theory, 25(1979), 153-168.
  • [10] Szego G., Orthogonal Polynomials, Colloquium Publications, 23, Amer. Math. Soc. Providence, R.I., 1967.
  • [11] Valiron G., Lectures on the General Theory of Integral Functions, Chelsea Pub.Co., New York, 1949.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-20c94f74-193e-4372-b928-bf29b80d2af2
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