Mathematical Sciences: Aspects of Formal Laurent Series and Applications To Some Problems in Applied Analysis
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{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
This work will study formal series (the umbral calculus)                   with the aim of applying the results to special functions,                      orthogonal polynomials, and related problems in numerical                       analysis.  The research lies at the interface between special                   functions, numerical analysis, and combinatorics.  Formal series                will be used to construct explicitly the limits of sequences                    satisfying renewal equations.  The use of formal series to                      explicitly solve non-homogeneous difference equations with                      constant coefficients when the right hand side is itself given by               a formal series will also be considered.  Formal Chebyshev                      polynomial solutions for such equations will be developed.                      Difference equations are a key tool in the numerical solution of                partial differential equations which model important physical                   processes in science and engineering.
{'FirstName': 'Jet', 'LastName': 'Wimp', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jet J Wimp', 'EmailAddress': None, 'NSF_ID': '000393463', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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