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1
Content available remote On the generalized order and generalized type of entire monogenic functions
Srivastava G. S., Kumar S.
Demonstratio Mathematica
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2013
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Vol. 46, nr 4
663--677
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.
2
Content available remote Spaces of entire functions represented by vector valued Dirichlet series
Srivastava G. S., Sharma A.
Journal of Mathematics and Applications
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2011
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Vol. 34
97--107
EN
Spaces of entire functions ƒ represented by vector valued Dirichlet series and having finite order and finite type are considered. These are endowed with a certain topology under which they become a Frechet space. On this space the form of linear continuous functionals is characterized. Proper bases are also characterized in terms of growth parameters.
3
Content available remote Generalized growth of entire harmonic functions
Srivastava G. S.
Fasciculi Mathematici
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2008
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Nr 40
79-89
EN
Let H(x), x = (x1, x2, ... , xn), be an entire harmonic function in Rn.Fryant and Shankar [1] had obtained growth properties of H explicitly in terms of its Fourier coeffcients. In this paper, we obtain the characterizations of generalized order and type and introduce the generalized lower order for H. Special case of functions of slow growth has also been considered. Our results generalize some of the results obtained in [1].
4
Content available remote A study of bornological properties of the space of entire functions represented by multiple Dirichlet series
Abdul-Hussein M. S., Srivastava G. S.
Fasciculi Mathematici
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2005
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Nr 35
135-150
EN
The space of entire functions represented by Dirichlet series of several complex variables has been studied by S. Dauod [1]. M.D. Patwardhan [6] studied the bornological properties of the space of entire functions represented by power series. In this work we study the bornological aspect of the space Γ of entire functions represented by Dirichlet series of several complex variables. By Γ we denote the space of all analytic functions α (s1, s2) = , having finite abscissa of convergence. We introduce bornologies on&Gamma and Γ and prove that Γ is a convex bornological vector space which is the completion of the convex bornological vector space Γ.
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