How Long to Read $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions

How Long Does it Take to Read $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions?

It takes the average reader 1 hour and 13 minutes to read $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions by Douglas Bowman

Assuming a reading speed of 250 words per minute. Learn more

Description

The author explores ramifications and extensions of a $q$-difference operator method first used by L.J. Rogers for deriving relationships between special functions involving certain fundamental $q$-symmetric polynomials. In special cases these symmetric polynomials reduce to well-known classes of orthogonal polynomials. A number of basic properties of these polynomials follow from this approach. This leads naturally to the evaluation of the Askey-Wilson integral and generalizations. Expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials are also found. This provides a quick route to understanding the group structure generated by iterating the two-term transformations of these functions. Some infrastructure is also laid for more general investigations in the future

How long is $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions?

$q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions by Douglas Bowman is 73 pages long, and a total of 18,469 words.

This makes it 25% the length of the average book. It also has 23% more words than the average book.

How Long Does it Take to Read $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 40 minutes to read $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions aloud.

What Reading Level is $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions?

$q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy $q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions?

$q$-Difference Operators, Orthogonal Polynomials, and Symmetric Expansions by Douglas Bowman is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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