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Overview of Developments in the MRCC Program System. [PDF]
J Phys Chem AMester D +11 more
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2011
In this lecture, we shall first prove Theorem 6.5 and then through simple examples demonstrate how easily this result can be used to check the analyticity of functions. We shall also show that the real and imaginary parts of an analytic function are solutions of the Laplace equation.
Sandra Pinelas +2 more
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In this lecture, we shall first prove Theorem 6.5 and then through simple examples demonstrate how easily this result can be used to check the analyticity of functions. We shall also show that the real and imaginary parts of an analytic function are solutions of the Laplace equation.
Sandra Pinelas +2 more
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The Mathematical Gazette, 1964
This note is due to the fact that the identity of two analytic functions, with the same values for every z, is not obvious.
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This note is due to the fact that the identity of two analytic functions, with the same values for every z, is not obvious.
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2009
In the previous chapter we discussed isotropic and anisotropic tensor functions and their general representations. Of particular interest in continuum mechanics are isotropic tensor-valued functions of one arbitrary (not necessarily symmetric) tensor. For example, the exponential function of the velocity gradient or other non-symmetric strain rates is ...
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In the previous chapter we discussed isotropic and anisotropic tensor functions and their general representations. Of particular interest in continuum mechanics are isotropic tensor-valued functions of one arbitrary (not necessarily symmetric) tensor. For example, the exponential function of the velocity gradient or other non-symmetric strain rates is ...
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Sequences of Analytic Functions
1972The power series $${a_1}z + {a_2}{z^2} + \cdots + {a_n}{z^n} + \cdots = \omega $$ which converges not only for z = 0 and for which a 1 ≠ 0 establishes a conformai one to one mapping of a certain neighbourhood of z = 0 onto a certain neighbourhood w = 0. Consequently the relationship between z and w can also be represented by the expansion $${
George Pólya, Gabor Szegö
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2020
Theory of analytic functions is one of major fields of modern mathematics. Its application covers broad range of topics of natural science. A complex function f (z), or a function that takes a complex number z as a variable, has various properties that often differ from those of functions that take a real number x as a variable.
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Theory of analytic functions is one of major fields of modern mathematics. Its application covers broad range of topics of natural science. A complex function f (z), or a function that takes a complex number z as a variable, has various properties that often differ from those of functions that take a real number x as a variable.
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On a Subclass of analytic function
Journal of the Nigerian Association of Mathematical Physics, 2008In this work we establish some conditions for univalence and our results include starlikeness, convexity and close-to-convexity Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp.
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