# of the pth order

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##### 1: 28.12 Definitions and Basic Properties
The introduction to the eigenvalues and the functions of general order proceeds as in §§28.2(i), 28.2(ii), and 28.2(iii), except that we now restrict $\widehat{\nu}\neq 0,1$; equivalently $\nu\neq n$. …
###### §28.12(ii) Eigenfunctions $\operatorname{me}_{\nu}\left(z,q\right)$
For $q=0$, …
##### 4: 10.24 Functions of Imaginary Order
###### §10.24 Functions of Imaginary Order
and $\widetilde{J}_{\nu}\left(x\right)$, $\widetilde{Y}_{\nu}\left(x\right)$ are linearly independent solutions of (10.24.1): … In consequence of (10.24.6), when $x$ is large $\widetilde{J}_{\nu}\left(x\right)$ and $\widetilde{Y}_{\nu}\left(x\right)$ comprise a numerically satisfactory pair of solutions of (10.24.1); compare §2.7(iv). … …
##### 5: 10.45 Functions of Imaginary Order
###### §10.45 Functions of Imaginary Order
and $\widetilde{I}_{\nu}\left(x\right)$, $\widetilde{K}_{\nu}\left(x\right)$ are real and linearly independent solutions of (10.45.1): … The corresponding result for $\widetilde{K}_{\nu}\left(x\right)$ is given by …
##### 10: 11.1 Special Notation
###### §11.1 Special Notation
 $x$ real variable. … real or complex order. integer order. …