Math 113 : Functional
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چکیده
منابع مشابه
On Hilbert Golab-Schinzel type functional equation
Let $X$ be a vector space over a field $K$ of real or complex numbers. We will prove the superstability of the following Go{l}c{a}b-Schinzel type equation$$f(x+g(x)y)=f(x)f(y), x,yin X,$$where $f,g:Xrightarrow K$ are unknown functions (satisfying some assumptions). Then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitr...
متن کاملHADAMARD PRODUCT OF CERTAIN MEROMORPHIC p−VALENT STARLIKE AND p−VALENT CONVEX FUNCTIONS
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (J. Math. Anal. Appl. 113(1986), 230-234) and M. L. Mogra (Tamkang J. Math. 25(1994), no. 2, 157-162).
متن کاملSome notes on sets , logic , and mathematical language
These are ‘‘generic’’ notes, for use in Math 110, 113, 104 or 185. (This printing is adapted for use in Math 110 with Friedberg, Insel and Spence’s Linear Algebra. Part 1 below has a large overlap with Appendices A and B of that text, but I have left it in for completeness, and because it gives further examples of the concepts in question.) These pages do not develop in detail the definitions a...
متن کاملSemilocal Convergence of Two Iterative Methods for Simultaneous Computation of Polynomial Zeros
In this paper we study some iterative methods for simultaneous approximation of polynomial zeros. We give new semilocal convergence theorems with error bounds for Ehrlich’s and Nourein’s iterations. Our theorems generalize and improve recent results of Zheng and Huang [J. Comput. Math. 18 (2000), 113– 122], Petković and Herceg [J. Comput. Appl. Math. 136 (2001), 283–307] and Nedić [Novi Sad J. ...
متن کاملInvariants of Triangular Lie Algebras
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants (‘generalized Casimir operators’) are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so called special upper triangular Lie algebras. Algebraic a...
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