{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T00:57:55Z","timestamp":1740099475711,"version":"3.37.3"},"publisher-location":"Cham","reference-count":29,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030304423"},{"type":"electronic","value":"9783030304430"}],"license":[{"start":{"date-parts":[[2019,9,5]],"date-time":"2019-09-05T00:00:00Z","timestamp":1567641600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-30443-0_25","type":"book-chapter","created":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T06:13:03Z","timestamp":1567577583000},"page":"276-285","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Analytical Forms of Productions Functions with Given Total Elasticity of Production"],"prefix":"10.1007","author":[{"given":"Guennadi","family":"Khatskevich","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8714-0203","authenticated-orcid":false,"given":"Andrei","family":"Pranevich","sequence":"additional","affiliation":[]},{"given":"Yury","family":"Karaleu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,9,5]]},"reference":[{"issue":"83","key":"25_CR1","first-page":"51","volume":"1","author":"TM Humphrey","year":"1997","unstructured":"Humphrey, T.M.: Algebraic production functions and their uses before Cobb-Douglas. Econ. Q. 1(83), 51\u201383 (1997)","journal-title":"Econ. Q."},{"key":"25_CR2","volume-title":"Theory of Cost and Production Functions","author":"RW Shephard","year":"1970","unstructured":"Shephard, R.W.: Theory of Cost and Production Functions. Princeton University Press, Princeton (1970)"},{"key":"25_CR3","volume-title":"Production Functions: Theory, Methods, Application","author":"GB Kleiner","year":"1986","unstructured":"Kleiner, G.B.: Production Functions: Theory, Methods, Application. Finansy i statistika Publ., Moscow (1986)"},{"key":"25_CR4","volume-title":"Economic Grows","author":"RJ Barro","year":"2004","unstructured":"Barro, R.J., Sala-i-Martin, X.: Economic Grows. McGraw-Hill, New-York (2004)"},{"key":"25_CR5","volume-title":"Production Functions: Theory and Construction","author":"VK Gorbunov","year":"2013","unstructured":"Gorbunov, V.K.: Production Functions: Theory and Construction. Ulyanovsk State University Publ., Ulyanovsk (2013)"},{"key":"25_CR6","first-page":"139","volume":"18","author":"CW Cobb","year":"1928","unstructured":"Cobb, C.W., Douglas, P.H.: A theory of production. Am. Econ. Rev. 18, 139\u2013165 (1928)","journal-title":"Am. Econ. Rev."},{"issue":"84","key":"25_CR7","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1086\/260489","volume":"5","author":"PH Douglas","year":"1976","unstructured":"Douglas, P.H.: The Cobb-Douglas production function once again: its history, its testing, and some new empirical values. J. Polit. Econ. 5(84), 903\u2013916 (1976)","journal-title":"J. Polit. Econ."},{"issue":"43","key":"25_CR8","doi-asserted-by":"publisher","first-page":"225","DOI":"10.2307\/1927286","volume":"3","author":"KJ Arrow","year":"1961","unstructured":"Arrow, K.J., Chenery, H.B., Minhas, B.S., Solow, R.M.: Capital-labor substitution and economic efficiency. Rev. Econ. Stat. 3(43), 225\u2013250 (1961)","journal-title":"Rev. Econ. Stat."},{"issue":"8","key":"25_CR9","first-page":"6","volume":"4","author":"SK Mishra","year":"2010","unstructured":"Mishra, S.K.: A brief history of production functions. IUP J. Manag. Econ. 4(8), 6\u201334 (2010)","journal-title":"IUP J. Manag. Econ."},{"issue":"26","key":"25_CR10","first-page":"113","volume":"1","author":"L Losonczi","year":"2010","unstructured":"Losonczi, L.: Production functions having the CES property. Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis 1(26), 113\u2013125 (2010)","journal-title":"Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis"},{"key":"25_CR11","doi-asserted-by":"publisher","first-page":"1777","DOI":"10.1080\/13504851.2011.564117","volume":"18","author":"CA Ioan","year":"2011","unstructured":"Ioan, C.A., Ioan, G.: A generalization of a class of production functions. Appl. Econ. Lett. 18, 1777\u20131784 (2011)","journal-title":"Appl. Econ. Lett."},{"issue":"43","key":"25_CR12","doi-asserted-by":"publisher","first-page":"321","DOI":"10.5556\/j.tkjm.43.2012.1145","volume":"2","author":"B-Y Chen","year":"2012","unstructured":"Chen, B.-Y.: Classification of h-homogeneous production functions with constant elasticity of substitution. Tamkang J. Math. 2(43), 321\u2013328 (2012)","journal-title":"Tamkang J. Math."},{"key":"25_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2013\/732643","volume":"2013","author":"AD Vilcu","year":"2013","unstructured":"Vilcu, A.D., Vilcu, G.E.: On homogeneous production functions with proportional marginal rate of substitution. Math. Probl. Eng. 2013, 1\u20135 (2013)","journal-title":"Math. Probl. Eng."},{"key":"25_CR14","first-page":"46","volume":"1","author":"GA Khatskevich","year":"2017","unstructured":"Khatskevich, G.A., Pranevich, A.F.: On quasi-homogeneous production functions with constant elasticity of factors substitution. J. Belarus. State Univ. Econ. 1, 46\u201350 (2017)","journal-title":"J. Belarus. State Univ. Econ."},{"key":"25_CR15","first-page":"135","volume":"11","author":"GA Khatskevich","year":"2017","unstructured":"Khatskevich, G.A., Pranevich, A.F.: Quasi-homogeneous production functions with unit elasticity of factors substitution by Hicks. Econ. Simul. Forecast. 11, 135\u2013140 (2017)","journal-title":"Econ. Simul. Forecast."},{"key":"25_CR16","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1080\/13504851.2017.1299097","volume":"25","author":"GE Vilcu","year":"2018","unstructured":"Vilcu, G.E.: On a generalization of a class of production functions. Appl. Econ. Lett. 25, 106\u2013110 (2018)","journal-title":"Appl. Econ. Lett."},{"key":"25_CR17","first-page":"13","volume":"2","author":"GA Khatskevich","year":"2018","unstructured":"Khatskevich, G.A., Pranevich, A.F.: Production functions with given elasticities of output and production. J. Belarus. State Univ. Econ. 2, 13\u201321 (2018)","journal-title":"J. Belarus. State Univ. Econ."},{"key":"25_CR18","volume-title":"The Theory of wages","author":"JR Hicks","year":"1932","unstructured":"Hicks, J.R.: The Theory of wages. Macmillan Publ., London (1932)"},{"key":"25_CR19","volume-title":"Mathematical Analysis for Economists","author":"RG Allen","year":"1938","unstructured":"Allen, R.G.: Mathematical Analysis for Economists. Macmillan Publ., London (1938)"},{"issue":"29","key":"25_CR20","doi-asserted-by":"publisher","first-page":"291","DOI":"10.2307\/2296305","volume":"4","author":"H Uzawa","year":"1962","unstructured":"Uzawa, H.: Production functions with constant elasticities of substitution. Rev. Econ. Stud. 4(29), 291\u2013299 (1962)","journal-title":"Rev. Econ. Stud."},{"key":"25_CR21","doi-asserted-by":"publisher","first-page":"449","DOI":"10.2307\/1926812","volume":"50","author":"YC Lu","year":"1968","unstructured":"Lu, Y.C., Fletcher, L.B.: A Generalization of the CES production function. Rev. Econ. Stat. 50, 449\u2013452 (1968)","journal-title":"Rev. Econ. Stat."},{"key":"25_CR22","volume-title":"Manufacturing Production Functions in the United States","author":"TC Liu","year":"1965","unstructured":"Liu, T.C., Hildebrand, G.H.: Manufacturing Production Functions in the United States. Cornell University Press, Ithaca (1965)"},{"key":"25_CR23","doi-asserted-by":"publisher","first-page":"281","DOI":"10.2307\/1056895","volume":"38","author":"KR Kadiyala","year":"1972","unstructured":"Kadiyala, K.R.: Production functions and elasticity of substitution. South. Econ. J. 38, 281\u2013284 (1972)","journal-title":"South. Econ. J."},{"issue":"39","key":"25_CR24","doi-asserted-by":"publisher","first-page":"61","DOI":"10.2307\/1909140","volume":"1","author":"NS Revankar","year":"1971","unstructured":"Revankar, N.S.: A class of variable elasticity of substitution production functions. Econometrica 1(39), 61\u201371 (1971)","journal-title":"Econometrica"},{"key":"25_CR25","doi-asserted-by":"publisher","first-page":"453","DOI":"10.2307\/1926813","volume":"50","author":"R Sato","year":"1968","unstructured":"Sato, R., Hoffman, R.F.: Production function with variable elasticity of factor substitution: some analysis and testing. Rev. Econ. Stat. 50, 453\u2013460 (1968)","journal-title":"Rev. Econ. Stat."},{"key":"25_CR26","volume-title":"Fundamentals of mathematical analysis","author":"VA Il\u2019in","year":"2000","unstructured":"Il\u2019in, V.A., Pozniak, E.G.: Fundamentals of mathematical analysis. Nauka, Moscow (2000)"},{"key":"25_CR27","doi-asserted-by":"publisher","first-page":"73","DOI":"10.2307\/2295804","volume":"30","author":"D McFadden","year":"1963","unstructured":"McFadden, D.: Constant elasticities of substitution production functions. Rev. Econ. Stud. 30, 73\u201383 (1963)","journal-title":"Rev. Econ. Stud."},{"issue":"392","key":"25_CR28","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1016\/j.jmaa.2012.03.011","volume":"2","author":"B-Y Chen","year":"2012","unstructured":"Chen, B.-Y.: On some geometric properties of quasi-sum production models. J. Math. Anal. Appl. 2(392), 192\u2013199 (2012)","journal-title":"J. Math. Anal. Appl."},{"issue":"23","key":"25_CR29","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.ajmsc.2016.08.003","volume":"1","author":"AD Vilcu","year":"2017","unstructured":"Vilcu, A.D., Vilcu, G.E.: A survey on the geometry of production models in economics. Arab J. Math. Sci. 1(23), 18\u201331 (2017)","journal-title":"Arab J. Math. Sci."}],"container-title":["Advances in Intelligent Systems and Computing","Information Systems Architecture and Technology: Proceedings of 40th Anniversary International Conference on Information Systems Architecture and Technology \u2013 ISAT 2019"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-30443-0_25","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,22]],"date-time":"2024-07-22T22:49:27Z","timestamp":1721688567000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-30443-0_25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,5]]},"ISBN":["9783030304423","9783030304430"],"references-count":29,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-30443-0_25","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2019,9,5]]},"assertion":[{"value":"5 September 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ISAT","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Information Systems Architecture and Technology","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Wroc\u0142aw","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Poland","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 September 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 September 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"isat2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.isat.pwr.edu.pl\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}