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Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffé, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion.
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Higher Special Functions: A Theory of the Central Two-Point Connection Problem Based on a Singularity Approach (Encyclopedia of Mathematics and its Applications, Series Number 188)
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Cambridge University Press, 2024
ISBN 10: 100912319X
ISBN 13: 9781009123198
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Higher Special Functions: A Theory of the Central Two-Point Connection Problem Based on a Singularity Approach (Encyclopedia of Mathematics and its Applications, Series Number 188)
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Cambridge University Press, 2024
ISBN 10: 100912319X
ISBN 13: 9781009123198
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Higher Special Functions: A Theory of the Central Two-Point Connection Problem Based on a Singularity Approach (Encyclopedia of Mathematics and its Applications, Series Number 188)
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Higher Special Functions : A Theory of the Central Two-point Connection Problem Based on a Singularity Approach
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ISBN 10: 100912319X
ISBN 13: 9781009123198
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Higher Special Functions : A Theory of the Central Two-point Connection Problem Based on a Singularity Approach
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Cambridge University Press, 2024
ISBN 10: 100912319X
ISBN 13: 9781009123198
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Hardcover. Condizione: new. Hardcover. Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffe, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order. Containing new functions, unseen eigenvalue curves, a general method of solution, examples of unsolved problems and historical context, it will be indispensable for graduate students and researchers alike. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9781009123198
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