for Bessel and Hankel functions
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11: 10.47 Definitions and Basic Properties
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10.47.5
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10.47.6
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and are the spherical Bessel
functions of the first and second kinds, respectively; and are the spherical Bessel functions of the
third kind.
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βΊFor example, , , , , , , and are all entire functions of .
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10.47.13
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12: 10.75 Tables
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§10.75(iii) Zeros and Associated Values of the Bessel Functions, Hankel Functions, and their Derivatives
… βΊDöring (1966) tabulates all zeros of , , , , that lie in the sector , , to 10D. Some of the smaller zeros of and for are also included.
13: 9.6 Relations to Other Functions
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§9.6(i) Airy Functions as Bessel Functions, Hankel Functions, and Modified Bessel Functions
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9.6.6
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9.6.7
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§9.6(ii) Bessel Functions, Hankel Functions, and Modified Bessel Functions as Airy Functions
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9.6.20
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14: 10.8 Power Series
§10.8 Power Series
…15: 10.52 Limiting Forms
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10.52.2
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16: 10.27 Connection Formulas
17: 10.7 Limiting Forms
18: 10.77 Software
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§10.77(v) Bessel Functions–Real Order and Complex Argument (including Hankel Functions)
…19: 10.50 Wronskians and Cross-Products
§10.50 Wronskians and Cross-Products
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10.50.4
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βΊResults corresponding to (10.50.3) and (10.50.4) for and are obtainable via (10.47.12).