Modern Umbral Calculus An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory
This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Addition...
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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
2019, ©2019
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| Series: | De Gruyter Studies in Mathematics
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| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials. |
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| Physical Description: | XVI, 257 Seiten |
| ISBN: | 978-3-11-065292-5 978-3-11-065009-9 |