PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Growth and approximation properties of generalized axisymmetric potentials

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Using a function theoretic approach, the paper deals with uniform approximation of generalized axisymmetric potentials (GASP's) by GASP polynomials. The characterizations of order and type of entire GASP in terms of their polynomial approximation errors have been obtained.
Wydawca
Rocznik
Strony
107--116
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
autor
Bibliografia
  • [1] A. J. Fryant, Growth and complete sequences of generalized axisymmetric potentials, J. Approx. Theory 19 (1977), 361-370.
  • [2] R. P. Gilbert, Function Theoretic Methods in Partial Differential Equations, Math. in Science and Engineering, Vol. 54 (Academic Press, New York, 1969).
  • [3] E. Hille, Analytic Function Theory, Vol. 2, (Blaisdell, Waltham, Mass.) 1962.
  • [4] S. S. Isamukhamedov, Zh. Oramov, Boundary value problems for an equation of mixed type of the second kind with non smooth degeneration lines, Differ. Uravn. 18 (1982), 324-334, English Transl. Differential Equations 18 (1982), 263-271.
  • [5] G. P. Kapoor, A. Nautiyal, On the growth of generalized axisymmetric potentials, Indian J. Pure Appl. Math. 13 (11) (1982), 1240-1245
  • [6] Khe Kan Cher, On the uniqueness of solution of the Tricomi problem for equations with two lines of degeneracy, Partial Differential Equations, (Inst. Mat. Sibirsk Otdel, Akad. Nauk. SSSR, Novosibirsk), 1980, 64-67 (in Russian).
  • [7] Khe Kan Cher, On the singular Tricomi problem for an equation of mixed type with two lines of degeneracy, Preprint, (Novosibirsk), (1970) (in Russian).
  • [8] D. Kumar, Approximation of generalized axisymmetric potentials having fast growth, Indian J. Math. 45 (2003), 265-278.
  • [9] M. Marden, Value distribution of harmonic polynomials in several real variables, Trans. Amer. Math. Soc. 159 (1971), 137-154.
  • [10] O. I. Marichev, Boundary value problems for equations of mixed type with two lines of degeneracy, Izv. Akad. Nauk Bilorussk. SSR Ser. Fiz.-Mat. Nauk 5 (1970), 21-29 (in Russian).
  • [11] P. A. McCoy, On the zeros of generalized axisymmetric potentials, Proc. Amer. Math. Soc. 61 (1976), 54-58.
  • [12] P. A. McCoy, Polynomial approximation and growth of generalized axisymmetric potentials, Cand. J. Math. 31 (1979), 40-59.
  • [13] G. S. Srivastava, Approximation and growth of generalized axisymmetric potentials, Approx. Theory Appl. 12 (1996), 96-104.
  • [14] S. A. Tersenov, Basic boundary value problems for one ultra parabolic equation, Sibirsk. Mat. Zh. 42:6 (2001), 1413-1430.
  • [15] S. A. Tersenov, Cauchy problem for a system of equations of ultraparabolic type, Mat. Zametki 77:5 (2005), 768-774
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0027-0030
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.