# one variable

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##### 1: Mourad E. H. Ismail
His well-known book Classical and Quantum Orthogonal Polynomials in One Variable was published by Cambridge University Press in 2005 and reprinted with corrections in paperback in Ismail (2009). …
##### 2: 18.36 Miscellaneous Polynomials
These are polynomials in one variable that are orthogonal with respect to a number of different measures. …
##### 3: 21.8 Abelian Functions
In consequence, Abelian functions are generalizations of elliptic functions (§23.2(iii)) to more than one complex variable. …
##### 4: Bibliography I
• M. E. H. Ismail (2005) Classical and Quantum Orthogonal Polynomials in One Variable. Encyclopedia of Mathematics and its Applications, Vol. 98, Cambridge University Press, Cambridge.
• M. E. H. Ismail (2009) Classical and Quantum Orthogonal Polynomials in One Variable. Encyclopedia of Mathematics and its Applications, Vol. 98, Cambridge University Press, Cambridge.
• ##### 5: 1.4 Calculus of One Variable
###### §1.4 Calculus of OneVariable
1.4.1 $f(c+)\equiv\lim_{x\to c+}f(x)=f(c),$
###### §1.4(vi) Taylor’s Theorem for Real Variables Figure 1.4.2: Convex function f ⁡ ( x ) . … Magnify
##### 6: 31.16 Mathematical Applications
By specifying either $\theta$ or $\phi$ in (31.16.1) and (31.16.2) we obtain expansions in terms of one variable. …
##### 7: 8.27 Approximations
• Luke (1975, §4.3) gives Padé approximation methods, combined with a detailed analysis of the error terms, valid for real and complex variables except on the negative real $z$-axis. See also Temme (1994b, §3).

##### 9: 18.37 Classical OP’s in Two or More Variables
Orthogonal polynomials associated with root systems are certain systems of trigonometric polynomials in several variables, symmetric under a certain finite group (Weyl group), and orthogonal on a torus. In one variable they are essentially ultraspherical, Jacobi, continuous $q$-ultraspherical, or Askey–Wilson polynomials. …
##### 10: 19.17 Graphics
Because the $R$-function is homogeneous, there is no loss of generality in giving one variable the value $1$ or $-1$ (as in Figure 19.3.2). …