National Institute of Standards & Technology, Acquisition & Assistance Div.,100 Bureau Drive Stop 3572, Bldg. 301, Rm B117, Gaithersburg, MD 20899-3572

R -- EXPERT MATHEMATICAL WRITING, EDITING, AND CONSULTING SERVICES ON THE THEORY, APPLICATION AND COMPUTATION OF THE SPECIAL FUNCTIONS OF APPLIED MATHEMATICS, AND ON SUPPORTING OR RELATED MATHEMATICAL METHODOLOGY SOL 43SBNB067046, 43SBNB067047 through 43SBNB067065 DUE 061400 POC Anita Tolliver, Contract Specialist, (301) 975-6308, Fax (301) 963-7732; Alba Sanchez, Contracting Officer, (301) 975-6344, Fax (301) 963-7732 WEB: NIST Contracts Homepage, http://www.nist.gov/admin/od/contract/contract.htm. E-MAIL: NIST Contractss Office, Contract@nist.gov. The National Institute of Standards and Technology (NIST) intends to enter into twenty (20) sole source purchase orders with twenty (20) individual authors who are listed below under the authority of Federal Acquisition Regulation (FAR) Part 13-106-1(b), Soliciting from a Single Source. The requirement is for expert mathematical writing, editing and consulting services on the theory, application and computation of the special functions of applied mathematics, and on supporting or related mathematical methodology. These services are required to complete the much-needed successor to the classic and very successful mathematical reference compendium: M. Abramowitz and I.A. Stegun, "Handbook of Mathematical Functions," National Bureau of Standards Applied Mathematics Series 55, 1964 and later printings. The required expert mathematical services will be used to acquire twenty-one (21) individual chapters on specific topics and to integrate the chapters into a coherent whole resulting in a highly authoritative, "Digital Library of Mathematical Functions" (DLMF) covering the field of special functions of applied mathematics at a level appropriate for experienced scientific professionals. The DLMF will become the standard world reference in its subject area. The DLMF will be disseminated on the World Wide Web with auxiliary publication in a book edition. The individual authors were chosen by an exacting selection process, and all are uniquely qualified to fulfill this requirement because of their unique research accomplishments in the areas of mathematics that are relevant to their specific chapters and their general familiarity with the subject areas of the other DLMF chapters. These attributes are critical because each chapter will cover the current state-of-the-art in its subject area in great detail, and because the whole DLMF will reflect the rich mathematical interconnections that exist among the subject areas of all the chapters. The DLMF leaders, assisted by an international board of ten (10) eminent scientists from outside NIST, can identify no other comparably qualified individuals for these tasks. The twenty (20) individual authors and their assigned chapters are as follows: 1. G.E. Andrews, Penn State University, University Park, PA 16802, "q-Hypergeometric Functions" (DLMF Chapter QH); 2. T.M. Apostol, Caltech, Pasadena, CA 91125, "Zeta and Related Functions" (DLMF Chapter ZE); 3. R.A. Askey, University of Wisconsin, Madison, WI 53706, "Gamma Functions and Related Functions" (DLMF Chapter GA) and "Generalized Hypergeometric Functions" (DLMF Chapter GH); 4. M.V. Berry, University of Bristol, Bristol BS8 1TL, United Kingdom, "Integrals with Coalescing Saddles" (part) (DLMF Chapter IC); 5. C. Brezinski, 7 rue de Provence, 75009 Paris, France, "Numerical Methods" (part) (DLMF Chapter NM); 6. B.C. Carlson, Iowa State University, Ames, IA 50011-3020, "Elliptic Integrals" (DLMF Chapter EL); 7. F. Chyzak, INRIA Rocquencourt, F-78153 Le Chesnay Cedex, France, "Computer Algebra" (part) (DLMF Chapter CA); 8. K. Dilcher, Dalhousie University, Halifax, N.S. B3H 3J5, Canada, "Bernoulli and Euler Polynomials" (DLMF Chapter BP); 9. T.M. Dunster, San Diego State University, San Diego, CA 92182-7720; "Legendre Functions and Spherical Harmonics" (DLMF Chapter LE); 10. W. Gautschi, Purdue University, West Lafayette, IN 47907-1398, "Numerical Methods" (part) (DLMF Chapter NM); 11. C.J. Howls, University of Southampton, Highfield, Southampton SO15 5HZ, United Kingdom,"Integrals with Coalescing Saddles" (part) (DLMF Chapter IC);12. R. Koekoek, Delft University of Technology, PO Box 5031-2600 GA Delft, Netherlands,"Classical Orthogonal Polynomials" (part) (DLMF Chapter CP) and "Other Orthogonal Polynomials" (part) (DLMF Chapter OO); 13. L.C. Maximon, George Washington University, Washington, DC 20052, "Bessel Functions" (DLMF Chapter BS); 14. A. Olde Daalhuis, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom, "Hypergeometric Functions" (DLMF Chapter HY); 15. R.B. Paris, University of Abertay Dundee, Dundee DD1 1HG, United Kingdom, "Incomplete Gamma Function and Generalized Exponential Integral" (DLMF Chapter IG) and "Struve Functions and Anger-Weber Functions" (DLMF Chapter ST); 16. P. Paule, Johannes Kepler University, A-4040 Linz, Austria, "Computer Algebra" (part) (DLMF Chapter CA); 17. M.J. Seaton, Chatsworth, Bwlch, Powys LD3 7RQ, United Kingdom,"Coulomb Functions" (DLMF Chapter CW); 18. R.F. Swarttouw, Vrije University Amsterdam, De Boelelaan 1081a, Amsterdam, Netherlands, "Classical Orthogonal Polynomials" (part) (DLMF Chapter CP) and "Other Orthogonal Polynomials" (part) (DLMF Chapter OO); 19. N.M. Temme, CWI, Amsterdam, 1098 SJ, Netherlands, "Exponential Integral, Logarithmic Integral, Sine and Cosine Integrals" (DLMF Chapter EX) and "Error Functions, Dawson's Integral, Fresnel Integrals" (DLMF Chapter ER) and "Parabolic Cylinder Functions" (DLMF Chapter PC); and 20. J. Wimp, Drexel University, Philadelphia, PA 19104-2875, "The Confluent Hypergeometric Function" (DLMF Chapter CH). The period of performance for this requirement is from date of award of each purchase order through September 1, 2002. The Government anticipates the award of twenty (20) firm-fixed-price purchase orders. This notice of intent is not a request for competitive quotes. Written responses to this synopsis shall contain sufficient documentation to establish a bonafide capability to fulfill the requirement. A Request for Quotation (RFQ) package is not available. See CBD Numbered Notes 1 and 26. Posted 06/02/00 (W-SN460889). (0154)

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