derivative
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31—40 of 277 matching pages
31: 28.32 Mathematical Applications
…
βΊ
28.32.2
…
βΊ
β
- Symbols:
- : partial derivative of with respect to , : partial differential of , : real variable, : real variable, : parameter and : solution
- Referenced by:
- §28.33(ii)
- Permalink:
- http://dlmf.nist.gov/28.32.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
28.32.3
…
βΊ
β
- Symbols:
- : cosine function, : hyperbolic cosine function, : partial derivative of with respect to , : partial differential of , : variable, : variable, : parameter and : solution
- Referenced by:
- §28.32(i), §28.33(ii)
- Permalink:
- http://dlmf.nist.gov/28.32.E3
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
28.32.4
…
βΊ
β
- Symbols:
- : cosine function, : partial derivative of with respect to , : partial differential of , : parameter, : complex variable, : variable and : solution
- Permalink:
- http://dlmf.nist.gov/28.32.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
28.32.5
…
β
- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , : complex variable, : variable, : solution and : solution
- Permalink:
- http://dlmf.nist.gov/28.32.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §28.32(i), §28.32 and Ch.28
32: 14.6 Integer Order
…
βΊ
14.6.1
βΊ
β
- Symbols:
- : Ferrers function of the first kind, : derivative of with respect to , : Ferrers function of the first kind, : real variable, : nonnegative integer and : general degree
- A&S Ref:
- 8.6.6
- Permalink:
- http://dlmf.nist.gov/14.6.E1
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.6(i), §14.6 and Ch.14
14.6.2
βΊ
β
- Symbols:
- : Ferrers function of the second kind, : derivative of with respect to , : Ferrers function of the second kind, : real variable, : nonnegative integer and : general degree
- A&S Ref:
- 8.6.7
- Permalink:
- http://dlmf.nist.gov/14.6.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.6(i), §14.6 and Ch.14
14.6.3
βΊ
β
- Symbols:
- : associated Legendre function of the first kind, : derivative of with respect to , : Legendre function of the first kind, : real variable, : nonnegative integer and : general degree
- A&S Ref:
- 8.6.6
- Referenced by:
- §14.21(iii)
- Permalink:
- http://dlmf.nist.gov/14.6.E3
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.6(i), §14.6 and Ch.14
14.6.4
βΊ
β
- Symbols:
- : associated Legendre function of the second kind, : derivative of with respect to , : Legendre function of the second kind, : real variable, : nonnegative integer and : general degree
- A&S Ref:
- 8.6.7
- Referenced by:
- §14.6(i)
- Permalink:
- http://dlmf.nist.gov/14.6.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.6(i), §14.6 and Ch.14
14.6.5
…
β
- Symbols:
- : Pochhammer’s symbol (or shifted factorial), : Olver’s associated Legendre function, : derivative of with respect to , : Olver’s associated Legendre function, : real variable, : nonnegative integer and : general degree
- Referenced by:
- §14.21(iii), §14.6(i)
- Permalink:
- http://dlmf.nist.gov/14.6.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.6(i), §14.6 and Ch.14
33: 8.8 Recurrence Relations and Derivatives
§8.8 Recurrence Relations and Derivatives
… βΊ
8.8.13
…
βΊ
β
- Symbols:
- : derivative of with respect to , : base of natural logarithm, : incomplete gamma function, : incomplete gamma function, : complex variable and : parameter
- A&S Ref:
- 6.5.25
- Permalink:
- http://dlmf.nist.gov/8.8.E13
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §8.8 and Ch.8
8.8.15
βΊ
β
- Symbols:
- : derivative of with respect to , : incomplete gamma function, : complex variable, : parameter and : nonnegative integer
- Permalink:
- http://dlmf.nist.gov/8.8.E15
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §8.8 and Ch.8
8.8.16
βΊ
β
- Symbols:
- : derivative of with respect to , : incomplete gamma function, : complex variable, : parameter and : nonnegative integer
- A&S Ref:
- 6.5.26
- Referenced by:
- §8.19(v)
- Permalink:
- http://dlmf.nist.gov/8.8.E16
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §8.8 and Ch.8
8.8.17
…
β
- Symbols:
- : Pochhammer’s symbol (or shifted factorial), : derivative of with respect to , : base of natural logarithm, : incomplete gamma function, : complex variable, : parameter and : nonnegative integer
- Permalink:
- http://dlmf.nist.gov/8.8.E17
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §8.8 and Ch.8
34: 31.10 Integral Equations and Representations
…
βΊ
31.10.4
…
βΊ
β
- Defines:
- : Heun’s operator (locally)
- Symbols:
- : partial derivative of with respect to , : partial differential of , : complex variable, : real or complex parameter, : real or complex parameter, : real or complex parameter, : complex parameter, : real or complex parameter and : real or complex parameter
- Referenced by:
- §31.10(ii)
- Permalink:
- http://dlmf.nist.gov/31.10.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(i), §31.10 and Ch.31
31.10.5
…
βΊ
β
- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , : contour and : kernel
- Permalink:
- http://dlmf.nist.gov/31.10.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(i), §31.10 and Ch.31
31.10.15
…
βΊ
β
- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , , : contours, : kernel and
- Permalink:
- http://dlmf.nist.gov/31.10.E15
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(ii), §31.10 and Ch.31
31.10.16
…
βΊ
β
- Symbols:
- : derivative of with respect to , : partial derivative of with respect to , : partial differential of , , : contours, : kernel and
- Permalink:
- http://dlmf.nist.gov/31.10.E16
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(ii), §31.10 and Ch.31
31.10.18
…
β
- Symbols:
- : partial derivative of with respect to , : partial differential of , : real or complex parameter, : real or complex parameter, : real or complex parameter, : kernel, , and
- Permalink:
- http://dlmf.nist.gov/31.10.E18
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §31.10(ii), §31.10(ii), §31.10 and Ch.31
35: 1.6 Vectors and Vector-Valued Functions
…
βΊ
1.6.19
…
βΊ
β
- Symbols:
- : partial derivative of with respect to , : partial differential of , : variable, : unit vector, : unit vector and : unit vector
- Permalink:
- http://dlmf.nist.gov/1.6.E19
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
1.6.20
…
βΊ
β
- Defines:
- : gradient of differentiable scalar function
- Symbols:
- : partial derivative of with respect to , : partial differential of , : variable, : unit vector, : unit vector and : unit vector
- Permalink:
- http://dlmf.nist.gov/1.6.E20
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
1.6.21
…
βΊ
β
- Defines:
- : divergence of vector-valued function
- Symbols:
- : partial derivative of with respect to , : partial differential of , : variable and : vector function components
- Permalink:
- http://dlmf.nist.gov/1.6.E21
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
1.6.22
…
βΊwhere is the derivative of normal to the surface outwards from and is the unit outer normal vector.
…
β
- Defines:
- : of vector-valued function
- Symbols:
- : determinant, : partial derivative of with respect to , : partial differential of , : variable, : unit vector, : unit vector, : unit vector and : vector function components
- Permalink:
- http://dlmf.nist.gov/1.6.E22
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §1.6(iii), §1.6(iii), §1.6 and Ch.1
36: 14.11 Derivatives with Respect to Degree or Order
§14.11 Derivatives with Respect to Degree or Order
βΊ
14.11.1
βΊ
β
- Symbols:
- : Ferrers function of the first kind, : the ratio of the circumference of a circle to its diameter, : cotangent function, : partial derivative of with respect to , : partial differential of , : real variable, : general order, : general degree and
- Referenced by:
- §14.11, §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E1
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
14.11.2
…
βΊ
β
- Symbols:
- : Ferrers function of the first kind, : Ferrers function of the second kind, : the ratio of the circumference of a circle to its diameter, : cosecant function, : cotangent function, : partial derivative of with respect to , : partial differential of , : sine function, : real variable, : general order, : general degree and
- Referenced by:
- §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
14.11.4
βΊ
β
- Symbols:
- : Ferrers function of the first kind, : the ratio of the circumference of a circle to its diameter, : cotangent function, : psi (or digamma) function, : partial derivative of with respect to , : partial differential of , : Ferrers function of the first kind, : Ferrers function of the second kind, : real variable, : general order and : general degree
- Referenced by:
- §14.11, §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E4
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
14.11.5
…
β
- Symbols:
- : Ferrers function of the second kind, : the ratio of the circumference of a circle to its diameter, : cotangent function, : psi (or digamma) function, : partial derivative of with respect to , : partial differential of , : Ferrers function of the first kind, : Ferrers function of the second kind, : real variable, : general order and : general degree
- Referenced by:
- §14.11
- Permalink:
- http://dlmf.nist.gov/14.11.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §14.11 and Ch.14
37: 13.15 Recurrence Relations and Derivatives
§13.15 Recurrence Relations and Derivatives
… βΊ§13.15(ii) Differentiation Formulas
βΊ
13.15.15
βΊ
β
- Symbols:
- : Pochhammer’s symbol (or shifted factorial), : Whittaker confluent hypergeometric function, : derivative of with respect to , : base of natural logarithm, : nonnegative integer and : complex variable
- Permalink:
- http://dlmf.nist.gov/13.15.E15
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §13.15(ii), §13.15 and Ch.13
13.15.16
…
βΊ
β
- Symbols:
- : Pochhammer’s symbol (or shifted factorial), : Whittaker confluent hypergeometric function, : derivative of with respect to , : base of natural logarithm, : nonnegative integer and : complex variable
- Permalink:
- http://dlmf.nist.gov/13.15.E16
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §13.15(ii), §13.15 and Ch.13
13.15.26
…
β
- Symbols:
- : Whittaker confluent hypergeometric function, : derivative of with respect to , : base of natural logarithm, : nonnegative integer and : complex variable
- Permalink:
- http://dlmf.nist.gov/13.15.E26
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §13.15(ii), §13.15 and Ch.13
38: 20.13 Physical Applications
…
βΊ
20.13.1
…
βΊ
β
- Symbols:
- : partial derivative of with respect to , : partial differential of , : lattice parameter and : real variable
- Referenced by:
- §20.13
- Permalink:
- http://dlmf.nist.gov/20.13.E1
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §20.13 and Ch.20
20.13.2
…
β
- Symbols:
- : partial derivative of with respect to , : partial differential of , : time, : real parameter and : real variable
- Referenced by:
- §20.13
- Permalink:
- http://dlmf.nist.gov/20.13.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §20.13 and Ch.20
39: 23.21 Physical Applications
…
βΊ
23.21.2
…
βΊ
β
- Symbols:
- : partial derivative of with respect to , : partial differential of , : ellipsoidal coordinate, : ellipsoidal coordinate, : ellipsoidal coordinate and : function
- Permalink:
- http://dlmf.nist.gov/23.21.E2
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §23.21(iii), §23.21 and Ch.23
23.21.5
…
β
- Symbols:
- (= = ): Weierstrass -function, : partial derivative of with respect to , : partial differential of , : lattice, : change of variable, : change of variable and : change of variable
- Permalink:
- http://dlmf.nist.gov/23.21.E5
- Encodings:
- pMML, png, TeX
- See also:
- Annotations for §23.21(iii), §23.21 and Ch.23