Entire functions satisfying a linear differential equation
نویسندگان
چکیده
منابع مشابه
Permutable Entire Functions Satisfying Algebraic Differential Equations
We show that if f and g are transcendental entire functions such that f(g) = g(f), then f satisfies an algebraic differential equation if and only if g does.
متن کاملNumerical Solution of Heun Equation Via Linear Stochastic Differential Equation
In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...
متن کاملSpaces of Functions Satisfying Simple Differential Equations
In [6]–[9] the first author published an algorithm for the conversion of analytic functions for which derivative rules are given into their representing power series ∞ ∑ k=0 akz k at the origin and vice versa, implementations of which exist in Mathematica [19], (s. [9]), Maple [12] (s. [4]) and Reduce [5] (s. [13]). One main part of this procedure is an algorithm to derive a homogeneous linear ...
متن کاملRandom Functions Satisfying Certain Linear Relations
i1 "L-d! said my mother, what is all this story about?-A Cock and a Bull, said Yorick-" (Tristram Shandy) iii ACKNOWLEDGMENT At the outset, I would like to express my sincere and heartfelt thanks to Dr. Herbert Robbins for his constant advice and help, and for his patience with me. financial assistance and other facilities which were provided me during the progress of this work. summer of 1950;...
متن کاملAnalytical Solutions of the Riccati Equation with Coefficients Satisfying Integral or Differential Conditions with Arbitrary Functions
Ten new exact solutions of the Riccati equation dy/dx = a(x) + b(x)y + c(x)y are presented. The solutions are obtained by assuming certain relations among the coefficients a(x), b(x) and c(x) of the Riccati equation, in the form of some integral or differential expressions, also involving some arbitrary functions. By appropriately choosing the form of the coefficients of the Riccati equation, w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1975
ISSN: 1385-7258
DOI: 10.1016/1385-7258(75)90012-8