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41: 13.15 Recurrence Relations and Derivatives
§13.15(ii) Differentiation Formulas
42: 6.7 Integral Representations
43: 10.15 Derivatives with Respect to Order
44: 10.24 Functions of Imaginary Order
45: 10.45 Functions of Imaginary Order
46: 20.2 Definitions and Periodic Properties
Corresponding expansions for θ j ( z | τ ) , j = 1 , 2 , 3 , 4 , can be found by differentiating (20.2.1)–(20.2.4) with respect to z . …
47: 22.13 Derivatives and Differential Equations
48: 23.3 Differential Equations
49: 1.4 Calculus of One Variable
Fundamental Theorem of Calculus
50: 9.7 Asymptotic Expansions
Corresponding bounds for the errors in (9.7.7) to (9.7.14) may be obtained by use of these results and those of §9.2(v) and their differentiated forms. … For re-expansions of the remainder terms in (9.7.7)–(9.7.14) combine the results of this section with those of §9.2(v) and their differentiated forms, as in §9.7(iv). …