as z→∞
(0.014 seconds)
11—20 of 729 matching pages
11: 4.6 Power Series
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4.6.1
, ,
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4.6.3
, ,
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4.6.4
, ,
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►valid when is any real or complex constant and .
If , then the series terminates and is unrestricted.
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12: 22.6 Elementary Identities
13: 4.21 Identities
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4.21.24
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4.21.25
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►This result is also valid when is fractional or complex, provided that .
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►If , then
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►With
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14: 10.56 Generating Functions
15: 32.5 Integral Equations
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►Let be the solution of
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32.5.1
►where is a real constant, and is defined in §9.2.
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32.5.2
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32.5.3
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16: 4.34 Derivatives and Differential Equations
17: 4.1 Special Notation
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►The main purpose of the present chapter is to extend these definitions and properties to complex arguments .
►The main functions treated in this chapter are the logarithm , ; the exponential , ; the circular trigonometric (or just trigonometric) functions , , , , , ; the inverse trigonometric functions , , etc.
; the hyperbolic trigonometric (or just hyperbolic) functions , , , , , ; the inverse hyperbolic functions , , etc.
►Sometimes in the literature the meanings of and are interchanged; similarly for and , etc.
… for and for .