The series expansions of generalized hypergeometric functions

机译：广义超细函数的系列扩展

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摘要

Our aim is to give a method for the determination of the power series expansion of the solution of the initial value problem of nonlinear ordinary differential equations.

机译：我们的目的是提供一种方法，用于确定非线性常微分方程初始值问题的求解的功率序列扩展。

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《WSEAS International Conference on Applied Mathematics》|2007年||共6页
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G. BOGNAR; E. ROZGONYI;
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中图分类 O29-53;
关键词
Nonlinear ordinary differential equation; Initial value problem; Series expansion;

机译：非线性常微分方程;初始价值问题;系列扩展;

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专利

1. HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables [J] . Bytev Vladimir V., Kniehl Bernd A. Computer physics communications . 2015,第Null期

机译：HYPERDIRE超几何函数微分减少：基于Mathematica的软件包，用于广义超几何函数的微分减少：两个变量的Horn型超几何函数
2. HYPERgeometric functions DIfferential REduction (HYPERDIRE):MATHEMATICA based packages for differential reduction of generalized hypergeometric functions:F_D and FS Horn-type hypergeometric functions of three variables [J] . Vladimir V. Bytev, Mikhail Yu. Kalmykov, Sven-Olaf Moch Computer physics communications . 2014,第11期

机译：超几何函数微分减少（HYPERDIRE）：基于MATHEMATICA的软件包，用于差分化广义超几何函数：三个变量的F_D和FS Horn型超几何函数
3. Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions [J] . Leroy C., Ishkhanyan A. M. Integral transforms and special functions . 2015,第4a6期

机译：关于不完全Beta和Appell广义超几何函数的合流Heun方程解的扩展
4. The series expansions of generalized hypergeometric functions [C] . G. BOGNAR, E. ROZGONYI WSEAS International Conference on Applied Mathematics . 2007

机译：广义超细函数的系列扩展
5. On cranks of partitions, generalized Lambert series, and basic hypergeometric series. [D] . Chan, Song Heng. 2005

机译：在分区曲柄上，可以使用广义Lambert级数和基本超几何级数。
6. On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series [O] . Jitendra Kumar Kushwaha 2013

机译：傅立叶级数共轭级数的欧拉均值逼近广义Lipschitz函数
7. Some expansions of hypergeometric functions in series of hypergeometric functions [O] . H. M. Srivastava, Rekha Panda 1976

机译：超高度函数中的超距离函数的一些扩展
8. Expansion of the Hypergeometric Function in Series of Confluent Ones and Application to the Jacobi Polynomials. [R] . Tricomi, F. G. 1951

机译：汇合问鼎系列与应用超几何函数的雅可比多项式的扩展。

The series expansions of generalized hypergeometric functions

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