Extended Legendre numbers of the first kind |
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Authors: | Paul W Haggard |
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Institution: | Department of Mathematics , East Carolina University , Greenville, NC, 27858, U.S.A. |
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Abstract: | The Legendre numbers are defined from the associated Legendre functions and three equivalent general forms are given for them. From one of these forms the Legendre numbers P m n are extended to those of the forms P‐m n and P‐m ‐n Several properties of these extended Legendre numbers are given and a combined table shows many properties common to all of the numbers. |
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