1.
MySQL :: MySQL PHP API :: 6.5.42 mysql_result
dev.mysql.com/doc/apis-php/en/apis-php-function.mysql-result.html
2.
php – MySQLi equivalent of mysql_result()? – Stack Overflow
stackoverflow.com/questions/2089590/mysqli-equivalent-of-mysql-result
3. 
mysqli_result() function to match mysql_result() | Mario Lurig
mariolurig.com/coding/mysqli_result-function-to-match-mysql_result/
4.
mysqli_result PHP примеры использования – HotExamples
hotexamples.com/ru/examples/-/-/mysqli_result/php-mysqli_result-function-examples.html
5.
Change mysql_result to mysqli? – PHP – SitePoint Forums
www.sitepoint.com/community/t/change-mysql-result-to-mysqli/190972
6.
PHP MySQLi Functions: mysqli_query, mysqli_connect…
www.guru99.com/mysql-php-and-other-database-access-methods.html
7.
function that returns mysql resultset / mysql result set in variable…
github.com/mysqljs/mysql/issues/1361
8.
PHP mysqli_free_result() Function
www.w3schools.com/php/func_mysqli_free_result.asp
9.
PHP MySQLi Prepared Statements Tutorial to Prevent SQL Injection
websitebeaver.com/prepared-statements-in-php-mysqli-to-prevent-sql-injection
10.
Save MySQL Results to a File – Database Star
www.databasestar.com/mysql-output-file/
11.
Database_MySQL_Result | Kohana User Guide
kohana.top/3.1/guide/api/Database_MySQL_Result
Conclusion
Guide above should be useful for Mysql_result$.