derivatives
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21—30 of 277 matching pages
21: 10.51 Recurrence Relations and Derivatives
22: 29.11 Lamé Wave Equation
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29.11.1
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23: 16.14 Partial Differential Equations
24: 9.9 Zeros
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βΊThey are denoted by , , , , respectively, arranged in ascending order of absolute value for
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βΊThey lie in the sectors and , and are denoted by , , respectively, in the former sector, and by , , in the conjugate sector, again arranged in ascending order of absolute value (modulus) for See §9.3(ii) for visualizations.
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§9.9(iii) Derivatives With Respect to
… βΊFor error bounds for the asymptotic expansions of , , , and see Pittaluga and Sacripante (1991), and a conjecture given in Fabijonas and Olver (1999). … βΊTables 9.9.1 and 9.9.2 give 10D values of the first ten real zeros of , , , , together with the associated values of the derivative or the function. …25: 30.2 Differential Equations
26: 15.5 Derivatives and Contiguous Functions
§15.5 Derivatives and Contiguous Functions
βΊ§15.5(i) Differentiation Formulas
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15.5.2
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15.5.10
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27: 30.13 Wave Equation in Prolate Spheroidal Coordinates
28: 4.24 Inverse Trigonometric Functions: Further Properties
29: 10.73 Physical Applications
30: 32.1 Special Notation
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βΊUnless otherwise noted, primes indicate derivatives with respect to the argument.
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