On the generalized order and generalized type of entire monogenic functions

• Autorzy: Srivastava, G. S. , Kumar, S.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we study the generalized growth of entire monogenic functions. The generalized order, generalized lower order and generalized type of entire monogenic functions have been obtained in terms of its Taylor’s series coefficients.

Słowa kluczowe

PL

równanie Cauchy'ego-Riemanna; funkcja całkowita

EN

Cauchy–Riemann system ; entire monogenic function; generalized order; generalized type; generalized lower order

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 4
• Strony: 663--677
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Srivastava, G. S.

• Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida (Up)-20130t, India,

autor

Kumar, S.

• Department of Mathematics, Jaypee Institute of Information Technolog,y Samirpur (Hp)-177601, India,

Bibliografia

• [1] R. De Almeida, R. S. Krausshar, On the asymptotic growth of entire monogenic functions, Z. Anal. Anwendungen U24(4) (2005), 791–813.
• [2] D. Constales, R. De Almeida, R. S. Krausshar, On the relation between the growth and the Taylor coefficients of entire solutions to the higher dimensional Cauchy–Riemann system in Rn+1; J. Math. Anal. Appl. 327 (2007), 763–775.
• [3] D. Constales, R. De Almeida, R. S. Krausshar, On the growth type of entire monogenic functions, Arch. Math. 88 (2007), 153–163.
• [4] M. N. Seremeta, On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion, Amer. Math. Soc. Transl. 88(2) (1970), 291–301.
• [5] S. M. Shah, Polynomial approximation of an entire function and generalized order, J. Approx. Theory 19 (1977), 315–324.