It takes the average reader 2 hours and 1 minute to read On the Higher-Order Sheffer Orthogonal Polynomial Sequences by Daniel J. Galiffa
Assuming a reading speed of 250 words per minute. Learn more
On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher-order Sheffer classes. This text not only shows that there are no OPS for the special case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well. Moreover, it is quite provocative how the seemingly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically more difficult characterization problem. Despite this issue, a procedure is established that yields a definite answer to our current characterization problem, which can also be extended to various other characterization problems as well. Accessible to undergraduate students in the mathematical sciences and related fields, This book functions as an important reference work regarding the Sheffer sequences. The author takes advantage of Mathematica 7 to display unique detailed code and increase the reader's understanding of the implementation of Mathematica 7 and facilitate further experimentation. In addition, this book provides an excellent example of how packages like Mathematica 7 can be used to derive rigorous mathematical results.
On the Higher-Order Sheffer Orthogonal Polynomial Sequences by Daniel J. Galiffa is 118 pages long, and a total of 30,444 words.
This makes it 40% the length of the average book. It also has 37% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 46 minutes to read On the Higher-Order Sheffer Orthogonal Polynomial Sequences aloud.
On the Higher-Order Sheffer Orthogonal Polynomial Sequences is suitable for students ages 10 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.
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