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Growth and approximation errors of entire series having index-pair (p,q)

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Języki publikacji
EN
Abstrakty
EN
In this paper we Studied the polynomial coefficients and approximation errors for functions of the form f (z) = Σk=1 qk(z)[y(z)]k-1 belong to Ls (B), the class of all functions holo- morphic on Caratheodory domain B. The lower (p, q)-order and generalized lower (p, q)-type with respect to proximate order have been characterized in terms of these polynomial coefficients and approximation errors.
Rocznik
Tom
Strony
61--73
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Department of Mathematics Aligarh Muslim University Aligarh - 202002, U.P., India
autor
  • Department of Mathematics Aligarh Muslim University Aligarh - 202002, U.P., India
Bibliografia
  • [1] Boas R.P., Entire Functions, Chapter 2, Academic Press, New York, 1954.
  • [2] Juneja O.P., On the coefficient of entire series, J. Analysis Math., 24(1971), 395-401.
  • [3] Juneja O.P., Kapoor G.P., On the lower order of entire functions, J. London Math. Soc., 5(2)(1972), 310-312.
  • [4] Juneja O.P., Kapoor G.P., Polynomial coefficients of entire series, Yokohama Math. J., 22(1974), 125-133.
  • [5] Juneja O.P., Kapoor G.P., Bajpai S.K., On the (p, q)-order and lower (p, q)-order of an entire function, J. Reine Angew Math., 282(1976), 53-67.
  • [6] Juneja O.P., Kapoor G.P., Bajpai S.K., On the (p, q)-type and lower (p, q)-type of an entire function, J. Reine Angew Math., 290(1977), 180-190.
  • [7] Kasana H.S., The generalized type of entire functions with index pair (p, q), Comment. Math. Prac. Mat., 2(29)(1990), 215-222.
  • [8] Kumar D., Approximation error and generalized orders of an entire function, Tamsui Oxford J. Math. Sci., 25(2)(2009), 225-235.
  • [9] Kumar D., Kaur H., Lp approximation error and generalized growth parameters of analytic functions in Caratheodory domains, International J. Mathematical Analysis, 3(30)(2009), 1461-1472.
  • [10] Nandan K., Doherey R.P., Srivastava R.S.L., Proximate order of an entire function with index-pair (p, q), Indian J. Pure Appl. Math., 11(1980), 33-39.
  • [11] Rice J.R., The degree of convergence for entire functions, Duke Math. J., 38(1971), 429-440.
  • [12] Sato D., On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69(1963), 411-414.
  • [13] Shah S.M., On the coefficients of entire series of finite order, J. London Math. Soc., 20(1951), 45-48.
  • [14] Walsh J.L., Interpolation and Approximation, Colloquim Publications, Vol. 20, Amer. Math. Soc. Providence, R.I., 1960.
  • [15] Walsh J.L., Interpolation and Approximation by Rational Functions in Complex Domain, Colloquim Publications, Vol. 20, Amer. Math. Soc. Providence, R. I., 1969.
  • [16] Winiarski T.N., Approximation and interpolation of entire functions, Ann. Polon. Math., 23(1970), 259-273.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5354188d-7da0-4e07-a314-5861252020e4
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