A textbook and reference featuring more than 1,000 mathematical expressions for the solution of the general kth order linear difference equation using the generating function approach. Establishes notation and other conventions for mathematics in public health research. For biostatisticians and mathematicians.
Lemuel A. Moye is Associate Professor of Biometry, University of Texas School of Public Health-Houston Asha Seth Kapadia is Professor of Biometry and Management and Policy Sciences at the University of Texas School of Public Health-Houston, and Professor of Dental Public Health, University of Texas Dental Branch, Houston
Series Introduction
v
Preface
vii
Introduction
ix
Difference Equations: Structure and Function
1
(20)
Generating Functions I: Inversion Principles
21
(44)
Generating Functions II: Coefficient Collection
65
(26)
Difference Equations: Invoking the Generating Functions
91
(54)
Difference Equations: Variable Coefficients
145
(42)
Difference Equations: Run Theory
187
(28)
Difference Equations: Drought Prediction
215
(28)
Difference Equations: Rhythm Disturbances
243
(18)
Difference Equations: Follow-up Losses in Clinical Trials
261
(16)
Difference Equations: Business Predictions
277
(14)
Difference Equations in Epidemiology: Basic Models
291
(34)
Difference Equations in Epidemiology: Advanced Models
325
(64)
Index
389
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