Application of a new integral expansion for solving a class of functional equations (Q963824)
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scientific article; zbMATH DE number 5692726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of a new integral expansion for solving a class of functional equations |
scientific article; zbMATH DE number 5692726 |
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Application of a new integral expansion for solving a class of functional equations (English)
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14 April 2010
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The authors use a certain type of integral expansion formula for analytic functions to solve explicitly several particular cases of the system of equations \( f^{(k+1)}(a)+b_k f^{(k)}(a)=c_k \), \( k=0,1,2, \dots \), where \(a\) is given point on the real line, and \( (b_k), (c_k) \) are given sequences of real numbers.
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integral expansions
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Taylor-Maclaurin expansion
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functional equations
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integral kernels
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exact solutions of functional equations
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